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Finding the Third Proportional to 282,062.25 and 587,452.50

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Solution

The third proportional to 282,062.25 and 587,452.50 is: 1,223,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.25 : 587,452.50 = 587,452.50 : x
  2. Step 2: Convert to fraction form
    282,062.25/587,452.50 = 587,452.50/x
  3. Step 3: Cross multiply
    282,062.25x = 587,452.50 × 587,452.50
  4. Step 4: Simplify right side
    282,062.25x = 345,100,439,756.25
  5. Step 5: Solve for x
    x = 345,100,439,756.25/282,062.25
  6. Step 6: Final answer
    x = 1,223,490.35

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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.