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Finding the Third Proportional to 485,580.38 and 761,732.63

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Solution

The third proportional to 485,580.38 and 761,732.63 is: 1,194,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,580.38 : 761,732.63 = 761,732.63 : x
  2. Step 2: Convert to fraction form
    485,580.38/761,732.63 = 761,732.63/x
  3. Step 3: Cross multiply
    485,580.38x = 761,732.63 × 761,732.63
  4. Step 4: Simplify right side
    485,580.38x = 580,236,591,989.39
  5. Step 5: Solve for x
    x = 580,236,591,989.39/485,580.38
  6. Step 6: Final answer
    x = 1,194,934.19

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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.