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Finding the Third Proportional to 341,515.13 and 527,671.13

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Solution

The third proportional to 341,515.13 and 527,671.13 is: 815,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,515.13 : 527,671.13 = 527,671.13 : x
  2. Step 2: Convert to fraction form
    341,515.13/527,671.13 = 527,671.13/x
  3. Step 3: Cross multiply
    341,515.13x = 527,671.13 × 527,671.13
  4. Step 4: Simplify right side
    341,515.13x = 278,436,816,158.77
  5. Step 5: Solve for x
    x = 278,436,816,158.77/341,515.13
  6. Step 6: Final answer
    x = 815,298.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.