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Finding the Third Proportional to 377,084.25 and 527,467.13

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Solution

The third proportional to 377,084.25 and 527,467.13 is: 737,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,084.25 : 527,467.13 = 527,467.13 : x
  2. Step 2: Convert to fraction form
    377,084.25/527,467.13 = 527,467.13/x
  3. Step 3: Cross multiply
    377,084.25x = 527,467.13 × 527,467.13
  4. Step 4: Simplify right side
    377,084.25x = 278,221,567,955.77
  5. Step 5: Solve for x
    x = 278,221,567,955.77/377,084.25
  6. Step 6: Final answer
    x = 737,823.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.