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Finding the Third Proportional to 268,554 and 564,756

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Solution

The third proportional to 268,554 and 564,756 is: 1,187,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,554 : 564,756 = 564,756 : x
  2. Step 2: Convert to fraction form
    268,554/564,756 = 564,756/x
  3. Step 3: Cross multiply
    268,554x = 564,756 × 564,756
  4. Step 4: Simplify right side
    268,554x = 318,949,339,536
  5. Step 5: Solve for x
    x = 318,949,339,536/268,554
  6. Step 6: Final answer
    x = 1,187,654.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.