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Finding the Third Proportional to 237,478 and 484,641

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Solution

The third proportional to 237,478 and 484,641 is: 989,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,478 : 484,641 = 484,641 : x
  2. Step 2: Convert to fraction form
    237,478/484,641 = 484,641/x
  3. Step 3: Cross multiply
    237,478x = 484,641 × 484,641
  4. Step 4: Simplify right side
    237,478x = 234,876,898,881
  5. Step 5: Solve for x
    x = 234,876,898,881/237,478
  6. Step 6: Final answer
    x = 989,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.