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Finding the Third Proportional to 282,088 and 587,496

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Solution

The third proportional to 282,088 and 587,496 is: 1,223,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,088 : 587,496 = 587,496 : x
  2. Step 2: Convert to fraction form
    282,088/587,496 = 587,496/x
  3. Step 3: Cross multiply
    282,088x = 587,496 × 587,496
  4. Step 4: Simplify right side
    282,088x = 345,151,550,016
  5. Step 5: Solve for x
    x = 345,151,550,016/282,088
  6. Step 6: Final answer
    x = 1,223,559.85

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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.