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Finding the Third Proportional to 415,154.11 and 530,484.19

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Solution

The third proportional to 415,154.11 and 530,484.19 is: 677,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,154.11 : 530,484.19 = 530,484.19 : x
  2. Step 2: Convert to fraction form
    415,154.11/530,484.19 = 530,484.19/x
  3. Step 3: Cross multiply
    415,154.11x = 530,484.19 × 530,484.19
  4. Step 4: Simplify right side
    415,154.11x = 281,413,473,187.54
  5. Step 5: Solve for x
    x = 281,413,473,187.54/415,154.11
  6. Step 6: Final answer
    x = 677,853.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.