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Finding the Third Proportional to 386,532 and 564,966

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Solution

The third proportional to 386,532 and 564,966 is: 825,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,532 : 564,966 = 564,966 : x
  2. Step 2: Convert to fraction form
    386,532/564,966 = 564,966/x
  3. Step 3: Cross multiply
    386,532x = 564,966 × 564,966
  4. Step 4: Simplify right side
    386,532x = 319,186,581,156
  5. Step 5: Solve for x
    x = 319,186,581,156/386,532
  6. Step 6: Final answer
    x = 825,770.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.