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Finding the Third Proportional to 282,288 and 587,808

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Solution

The third proportional to 282,288 and 587,808 is: 1,223,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,288 : 587,808 = 587,808 : x
  2. Step 2: Convert to fraction form
    282,288/587,808 = 587,808/x
  3. Step 3: Cross multiply
    282,288x = 587,808 × 587,808
  4. Step 4: Simplify right side
    282,288x = 345,518,244,864
  5. Step 5: Solve for x
    x = 345,518,244,864/282,288
  6. Step 6: Final answer
    x = 1,223,991.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.