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Finding the Third Proportional to 282,330 and 587,988

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Solution

The third proportional to 282,330 and 587,988 is: 1,224,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,330 : 587,988 = 587,988 : x
  2. Step 2: Convert to fraction form
    282,330/587,988 = 587,988/x
  3. Step 3: Cross multiply
    282,330x = 587,988 × 587,988
  4. Step 4: Simplify right side
    282,330x = 345,729,888,144
  5. Step 5: Solve for x
    x = 345,729,888,144/282,330
  6. Step 6: Final answer
    x = 1,224,559.52

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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.