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Finding the Third Proportional to 384,304 and 547,448

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Solution

The third proportional to 384,304 and 547,448 is: 779,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,304 : 547,448 = 547,448 : x
  2. Step 2: Convert to fraction form
    384,304/547,448 = 547,448/x
  3. Step 3: Cross multiply
    384,304x = 547,448 × 547,448
  4. Step 4: Simplify right side
    384,304x = 299,699,312,704
  5. Step 5: Solve for x
    x = 299,699,312,704/384,304
  6. Step 6: Final answer
    x = 779,849.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.