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Finding the Third Proportional to 485,613.50 and 761,781

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Solution

The third proportional to 485,613.50 and 761,781 is: 1,195,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,613.50 : 761,781 = 761,781 : x
  2. Step 2: Convert to fraction form
    485,613.50/761,781 = 761,781/x
  3. Step 3: Cross multiply
    485,613.50x = 761,781 × 761,781
  4. Step 4: Simplify right side
    485,613.50x = 580,310,291,961
  5. Step 5: Solve for x
    x = 580,310,291,961/485,613.50
  6. Step 6: Final answer
    x = 1,195,004.45

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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.