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Finding the Third Proportional to 252,396 and 390,747

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Solution

The third proportional to 252,396 and 390,747 is: 604,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,396 : 390,747 = 390,747 : x
  2. Step 2: Convert to fraction form
    252,396/390,747 = 390,747/x
  3. Step 3: Cross multiply
    252,396x = 390,747 × 390,747
  4. Step 4: Simplify right side
    252,396x = 152,683,218,009
  5. Step 5: Solve for x
    x = 152,683,218,009/252,396
  6. Step 6: Final answer
    x = 604,935.17

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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.