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Finding the Third Proportional to 324,523 and 484,084

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Solution

The third proportional to 324,523 and 484,084 is: 722,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,523 : 484,084 = 484,084 : x
  2. Step 2: Convert to fraction form
    324,523/484,084 = 484,084/x
  3. Step 3: Cross multiply
    324,523x = 484,084 × 484,084
  4. Step 4: Simplify right side
    324,523x = 234,337,319,056
  5. Step 5: Solve for x
    x = 234,337,319,056/324,523
  6. Step 6: Final answer
    x = 722,097.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.