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Finding the Third Proportional to 288,755,905.50 and 623,541,703.50

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Solution

The third proportional to 288,755,905.50 and 623,541,703.50 is: 1,346,480,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,755,905.50 : 623,541,703.50 = 623,541,703.50 : x
  2. Step 2: Convert to fraction form
    288,755,905.50/623,541,703.50 = 623,541,703.50/x
  3. Step 3: Cross multiply
    288,755,905.50x = 623,541,703.50 × 623,541,703.50
  4. Step 4: Simplify right side
    288,755,905.50x = 388,804,256,003,681,920
  5. Step 5: Solve for x
    x = 388,804,256,003,681,920/288,755,905.50
  6. Step 6: Final answer
    x = 1,346,480,707.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.