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Finding the Third Proportional to 614,350 and 961,656

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Solution

The third proportional to 614,350 and 961,656 is: 1,505,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,350 : 961,656 = 961,656 : x
  2. Step 2: Convert to fraction form
    614,350/961,656 = 961,656/x
  3. Step 3: Cross multiply
    614,350x = 961,656 × 961,656
  4. Step 4: Simplify right side
    614,350x = 924,782,262,336
  5. Step 5: Solve for x
    x = 924,782,262,336/614,350
  6. Step 6: Final answer
    x = 1,505,301.97

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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.