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Finding the Third Proportional to 614,347 and 961,650

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Solution

The third proportional to 614,347 and 961,650 is: 1,505,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,347 : 961,650 = 961,650 : x
  2. Step 2: Convert to fraction form
    614,347/961,650 = 961,650/x
  3. Step 3: Cross multiply
    614,347x = 961,650 × 961,650
  4. Step 4: Simplify right side
    614,347x = 924,770,722,500
  5. Step 5: Solve for x
    x = 924,770,722,500/614,347
  6. Step 6: Final answer
    x = 1,505,290.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.