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Finding the Third Proportional to 369,145.50 and 527,868

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Solution

The third proportional to 369,145.50 and 527,868 is: 754,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,145.50 : 527,868 = 527,868 : x
  2. Step 2: Convert to fraction form
    369,145.50/527,868 = 527,868/x
  3. Step 3: Cross multiply
    369,145.50x = 527,868 × 527,868
  4. Step 4: Simplify right side
    369,145.50x = 278,644,625,424
  5. Step 5: Solve for x
    x = 278,644,625,424/369,145.50
  6. Step 6: Final answer
    x = 754,836.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.