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Finding the Third Proportional to 376,463 and 552,139

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Solution

The third proportional to 376,463 and 552,139 is: 809,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,463 : 552,139 = 552,139 : x
  2. Step 2: Convert to fraction form
    376,463/552,139 = 552,139/x
  3. Step 3: Cross multiply
    376,463x = 552,139 × 552,139
  4. Step 4: Simplify right side
    376,463x = 304,857,475,321
  5. Step 5: Solve for x
    x = 304,857,475,321/376,463
  6. Step 6: Final answer
    x = 809,793.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.