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Finding the Third Proportional to 461,657 and 695,523

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Solution

The third proportional to 461,657 and 695,523 is: 1,047,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,657 : 695,523 = 695,523 : x
  2. Step 2: Convert to fraction form
    461,657/695,523 = 695,523/x
  3. Step 3: Cross multiply
    461,657x = 695,523 × 695,523
  4. Step 4: Simplify right side
    461,657x = 483,752,243,529
  5. Step 5: Solve for x
    x = 483,752,243,529/461,657
  6. Step 6: Final answer
    x = 1,047,860.74

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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.