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Finding the Third Proportional to 268,559 and 564,766

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Solution

The third proportional to 268,559 and 564,766 is: 1,187,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,559 : 564,766 = 564,766 : x
  2. Step 2: Convert to fraction form
    268,559/564,766 = 564,766/x
  3. Step 3: Cross multiply
    268,559x = 564,766 × 564,766
  4. Step 4: Simplify right side
    268,559x = 318,960,634,756
  5. Step 5: Solve for x
    x = 318,960,634,756/268,559
  6. Step 6: Final answer
    x = 1,187,674.35

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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.