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Finding the Third Proportional to 517,407 and 695,298

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Solution

The third proportional to 517,407 and 695,298 is: 934,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,407 : 695,298 = 695,298 : x
  2. Step 2: Convert to fraction form
    517,407/695,298 = 695,298/x
  3. Step 3: Cross multiply
    517,407x = 695,298 × 695,298
  4. Step 4: Simplify right side
    517,407x = 483,439,308,804
  5. Step 5: Solve for x
    x = 483,439,308,804/517,407
  6. Step 6: Final answer
    x = 934,350.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.