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Finding the Third Proportional to 282,055.50 and 587,439

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Solution

The third proportional to 282,055.50 and 587,439 is: 1,223,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,055.50 : 587,439 = 587,439 : x
  2. Step 2: Convert to fraction form
    282,055.50/587,439 = 587,439/x
  3. Step 3: Cross multiply
    282,055.50x = 587,439 × 587,439
  4. Step 4: Simplify right side
    282,055.50x = 345,084,578,721
  5. Step 5: Solve for x
    x = 345,084,578,721/282,055.50
  6. Step 6: Final answer
    x = 1,223,463.39

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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.