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Finding the Third Proportional to 462,062.13 and 689,248.14

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Solution

The third proportional to 462,062.13 and 689,248.14 is: 1,028,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,062.13 : 689,248.14 = 689,248.14 : x
  2. Step 2: Convert to fraction form
    462,062.13/689,248.14 = 689,248.14/x
  3. Step 3: Cross multiply
    462,062.13x = 689,248.14 × 689,248.14
  4. Step 4: Simplify right side
    462,062.13x = 475,063,002,047.39
  5. Step 5: Solve for x
    x = 475,063,002,047.39/462,062.13
  6. Step 6: Final answer
    x = 1,028,136.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.