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Finding the Third Proportional to 407,841,058.50 and 623,465,044.50

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Solution

The third proportional to 407,841,058.50 and 623,465,044.50 is: 953,088,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,841,058.50 : 623,465,044.50 = 623,465,044.50 : x
  2. Step 2: Convert to fraction form
    407,841,058.50/623,465,044.50 = 623,465,044.50/x
  3. Step 3: Cross multiply
    407,841,058.50x = 623,465,044.50 × 623,465,044.50
  4. Step 4: Simplify right side
    407,841,058.50x = 388,708,661,713,387,008
  5. Step 5: Solve for x
    x = 388,708,661,713,387,008/407,841,058.50
  6. Step 6: Final answer
    x = 953,088,595.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.