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Finding the Third Proportional to 384,542 and 596,967

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Solution

The third proportional to 384,542 and 596,967 is: 926,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,542 : 596,967 = 596,967 : x
  2. Step 2: Convert to fraction form
    384,542/596,967 = 596,967/x
  3. Step 3: Cross multiply
    384,542x = 596,967 × 596,967
  4. Step 4: Simplify right side
    384,542x = 356,369,599,089
  5. Step 5: Solve for x
    x = 356,369,599,089/384,542
  6. Step 6: Final answer
    x = 926,737.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.