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Finding the Third Proportional to 292,598 and 638,812

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Solution

The third proportional to 292,598 and 638,812 is: 1,394,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,598 : 638,812 = 638,812 : x
  2. Step 2: Convert to fraction form
    292,598/638,812 = 638,812/x
  3. Step 3: Cross multiply
    292,598x = 638,812 × 638,812
  4. Step 4: Simplify right side
    292,598x = 408,080,771,344
  5. Step 5: Solve for x
    x = 408,080,771,344/292,598
  6. Step 6: Final answer
    x = 1,394,680.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.