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Finding the Third Proportional to 331,237.13 and 485,434.13

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Solution

The third proportional to 331,237.13 and 485,434.13 is: 711,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,237.13 : 485,434.13 = 485,434.13 : x
  2. Step 2: Convert to fraction form
    331,237.13/485,434.13 = 485,434.13/x
  3. Step 3: Cross multiply
    331,237.13x = 485,434.13 × 485,434.13
  4. Step 4: Simplify right side
    331,237.13x = 235,646,289,714.52
  5. Step 5: Solve for x
    x = 235,646,289,714.52/331,237.13
  6. Step 6: Final answer
    x = 711,412.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.