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Finding the Third Proportional to 315,024 and 484,200

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Solution

The third proportional to 315,024 and 484,200 is: 744,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024 : 484,200 = 484,200 : x
  2. Step 2: Convert to fraction form
    315,024/484,200 = 484,200/x
  3. Step 3: Cross multiply
    315,024x = 484,200 × 484,200
  4. Step 4: Simplify right side
    315,024x = 234,449,640,000
  5. Step 5: Solve for x
    x = 234,449,640,000/315,024
  6. Step 6: Final answer
    x = 744,227.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.