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Finding the Third Proportional to 517,409 and 695,301

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Solution

The third proportional to 517,409 and 695,301 is: 934,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,409 : 695,301 = 695,301 : x
  2. Step 2: Convert to fraction form
    517,409/695,301 = 695,301/x
  3. Step 3: Cross multiply
    517,409x = 695,301 × 695,301
  4. Step 4: Simplify right side
    517,409x = 483,443,480,601
  5. Step 5: Solve for x
    x = 483,443,480,601/517,409
  6. Step 6: Final answer
    x = 934,354.60

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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.