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Finding the Third Proportional to 485,613 and 761,780.25

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Solution

The third proportional to 485,613 and 761,780.25 is: 1,195,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,613 : 761,780.25 = 761,780.25 : x
  2. Step 2: Convert to fraction form
    485,613/761,780.25 = 761,780.25/x
  3. Step 3: Cross multiply
    485,613x = 761,780.25 × 761,780.25
  4. Step 4: Simplify right side
    485,613x = 580,309,149,290.06
  5. Step 5: Solve for x
    x = 580,309,149,290.06/485,613
  6. Step 6: Final answer
    x = 1,195,003.32

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