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Finding the Third Proportional to 285,849 and 564,468.75

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Solution

The third proportional to 285,849 and 564,468.75 is: 1,114,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,849 : 564,468.75 = 564,468.75 : x
  2. Step 2: Convert to fraction form
    285,849/564,468.75 = 564,468.75/x
  3. Step 3: Cross multiply
    285,849x = 564,468.75 × 564,468.75
  4. Step 4: Simplify right side
    285,849x = 318,624,969,726.56
  5. Step 5: Solve for x
    x = 318,624,969,726.56/285,849
  6. Step 6: Final answer
    x = 1,114,661.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.