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Finding the Third Proportional to 658,530 and 984,987

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Solution

The third proportional to 658,530 and 984,987 is: 1,473,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,530 : 984,987 = 984,987 : x
  2. Step 2: Convert to fraction form
    658,530/984,987 = 984,987/x
  3. Step 3: Cross multiply
    658,530x = 984,987 × 984,987
  4. Step 4: Simplify right side
    658,530x = 970,199,390,169
  5. Step 5: Solve for x
    x = 970,199,390,169/658,530
  6. Step 6: Final answer
    x = 1,473,280.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.