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Finding the Third Proportional to 282,072 and 587,472

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Solution

The third proportional to 282,072 and 587,472 is: 1,223,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,072 : 587,472 = 587,472 : x
  2. Step 2: Convert to fraction form
    282,072/587,472 = 587,472/x
  3. Step 3: Cross multiply
    282,072x = 587,472 × 587,472
  4. Step 4: Simplify right side
    282,072x = 345,123,350,784
  5. Step 5: Solve for x
    x = 345,123,350,784/282,072
  6. Step 6: Final answer
    x = 1,223,529.28

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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.