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Finding the Third Proportional to 347,197,983.50 and 528,936,633.50

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Solution

The third proportional to 347,197,983.50 and 528,936,633.50 is: 805,805,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197,983.50 : 528,936,633.50 = 528,936,633.50 : x
  2. Step 2: Convert to fraction form
    347,197,983.50/528,936,633.50 = 528,936,633.50/x
  3. Step 3: Cross multiply
    347,197,983.50x = 528,936,633.50 × 528,936,633.50
  4. Step 4: Simplify right side
    347,197,983.50x = 279,773,962,258,313,312
  5. Step 5: Solve for x
    x = 279,773,962,258,313,312/347,197,983.50
  6. Step 6: Final answer
    x = 805,805,262.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.