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Finding the Third Proportional to 461,567 and 698,716

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Solution

The third proportional to 461,567 and 698,716 is: 1,057,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,567 : 698,716 = 698,716 : x
  2. Step 2: Convert to fraction form
    461,567/698,716 = 698,716/x
  3. Step 3: Cross multiply
    461,567x = 698,716 × 698,716
  4. Step 4: Simplify right side
    461,567x = 488,204,048,656
  5. Step 5: Solve for x
    x = 488,204,048,656/461,567
  6. Step 6: Final answer
    x = 1,057,710.04

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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.