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Finding the Third Proportional to 377,085.50 and 527,468.75

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Solution

The third proportional to 377,085.50 and 527,468.75 is: 737,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,085.50 : 527,468.75 = 527,468.75 : x
  2. Step 2: Convert to fraction form
    377,085.50/527,468.75 = 527,468.75/x
  3. Step 3: Cross multiply
    377,085.50x = 527,468.75 × 527,468.75
  4. Step 4: Simplify right side
    377,085.50x = 278,223,282,226.56
  5. Step 5: Solve for x
    x = 278,223,282,226.56/377,085.50
  6. Step 6: Final answer
    x = 737,825.46

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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.