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Finding the Third Proportional to 377,079 and 527,460

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Solution

The third proportional to 377,079 and 527,460 is: 737,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,079 : 527,460 = 527,460 : x
  2. Step 2: Convert to fraction form
    377,079/527,460 = 527,460/x
  3. Step 3: Cross multiply
    377,079x = 527,460 × 527,460
  4. Step 4: Simplify right side
    377,079x = 278,214,051,600
  5. Step 5: Solve for x
    x = 278,214,051,600/377,079
  6. Step 6: Final answer
    x = 737,813.70

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