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Finding the Third Proportional to 341,405.25 and 527,508

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Solution

The third proportional to 341,405.25 and 527,508 is: 815,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,405.25 : 527,508 = 527,508 : x
  2. Step 2: Convert to fraction form
    341,405.25/527,508 = 527,508/x
  3. Step 3: Cross multiply
    341,405.25x = 527,508 × 527,508
  4. Step 4: Simplify right side
    341,405.25x = 278,264,690,064
  5. Step 5: Solve for x
    x = 278,264,690,064/341,405.25
  6. Step 6: Final answer
    x = 815,056.86

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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.