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Finding the Third Proportional to 234,397.13 and 512,390.81

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Solution

The third proportional to 234,397.13 and 512,390.81 is: 1,120,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,397.13 : 512,390.81 = 512,390.81 : x
  2. Step 2: Convert to fraction form
    234,397.13/512,390.81 = 512,390.81/x
  3. Step 3: Cross multiply
    234,397.13x = 512,390.81 × 512,390.81
  4. Step 4: Simplify right side
    234,397.13x = 262,544,344,734.41
  5. Step 5: Solve for x
    x = 262,544,344,734.41/234,397.13
  6. Step 6: Final answer
    x = 1,120,083.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.