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Finding the Third Proportional to 377,083 and 527,464

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Solution

The third proportional to 377,083 and 527,464 is: 737,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,083 : 527,464 = 527,464 : x
  2. Step 2: Convert to fraction form
    377,083/527,464 = 527,464/x
  3. Step 3: Cross multiply
    377,083x = 527,464 × 527,464
  4. Step 4: Simplify right side
    377,083x = 278,218,271,296
  5. Step 5: Solve for x
    x = 278,218,271,296/377,083
  6. Step 6: Final answer
    x = 737,817.06

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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.