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Finding the Third Proportional to 658,272 and 996,642

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Solution

The third proportional to 658,272 and 996,642 is: 1,508,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,272 : 996,642 = 996,642 : x
  2. Step 2: Convert to fraction form
    658,272/996,642 = 996,642/x
  3. Step 3: Cross multiply
    658,272x = 996,642 × 996,642
  4. Step 4: Simplify right side
    658,272x = 993,295,276,164
  5. Step 5: Solve for x
    x = 993,295,276,164/658,272
  6. Step 6: Final answer
    x = 1,508,943.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.