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Finding the Third Proportional to 386,016 and 596,522

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Solution

The third proportional to 386,016 and 596,522 is: 921,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,016 : 596,522 = 596,522 : x
  2. Step 2: Convert to fraction form
    386,016/596,522 = 596,522/x
  3. Step 3: Cross multiply
    386,016x = 596,522 × 596,522
  4. Step 4: Simplify right side
    386,016x = 355,838,496,484
  5. Step 5: Solve for x
    x = 355,838,496,484/386,016
  6. Step 6: Final answer
    x = 921,823.18

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