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Finding the Third Proportional to 614,337 and 961,613

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Solution

The third proportional to 614,337 and 961,613 is: 1,505,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,337 : 961,613 = 961,613 : x
  2. Step 2: Convert to fraction form
    614,337/961,613 = 961,613/x
  3. Step 3: Cross multiply
    614,337x = 961,613 × 961,613
  4. Step 4: Simplify right side
    614,337x = 924,699,561,769
  5. Step 5: Solve for x
    x = 924,699,561,769/614,337
  6. Step 6: Final answer
    x = 1,505,199.20

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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.