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Finding the Third Proportional to 237,471 and 484,630

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Solution

The third proportional to 237,471 and 484,630 is: 989,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,471 : 484,630 = 484,630 : x
  2. Step 2: Convert to fraction form
    237,471/484,630 = 484,630/x
  3. Step 3: Cross multiply
    237,471x = 484,630 × 484,630
  4. Step 4: Simplify right side
    237,471x = 234,866,236,900
  5. Step 5: Solve for x
    x = 234,866,236,900/237,471
  6. Step 6: Final answer
    x = 989,031.24

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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.