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Finding the Third Proportional to 461,713.50 and 698,706

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Solution

The third proportional to 461,713.50 and 698,706 is: 1,057,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,713.50 : 698,706 = 698,706 : x
  2. Step 2: Convert to fraction form
    461,713.50/698,706 = 698,706/x
  3. Step 3: Cross multiply
    461,713.50x = 698,706 × 698,706
  4. Step 4: Simplify right side
    461,713.50x = 488,190,074,436
  5. Step 5: Solve for x
    x = 488,190,074,436/461,713.50
  6. Step 6: Final answer
    x = 1,057,344.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.