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Finding the Third Proportional to 356,872 and 775,952

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Solution

The third proportional to 356,872 and 775,952 is: 1,687,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,872 : 775,952 = 775,952 : x
  2. Step 2: Convert to fraction form
    356,872/775,952 = 775,952/x
  3. Step 3: Cross multiply
    356,872x = 775,952 × 775,952
  4. Step 4: Simplify right side
    356,872x = 602,101,506,304
  5. Step 5: Solve for x
    x = 602,101,506,304/356,872
  6. Step 6: Final answer
    x = 1,687,163.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.