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Finding the Third Proportional to 481,648 and 763,292

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Solution

The third proportional to 481,648 and 763,292 is: 1,209,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,648 : 763,292 = 763,292 : x
  2. Step 2: Convert to fraction form
    481,648/763,292 = 763,292/x
  3. Step 3: Cross multiply
    481,648x = 763,292 × 763,292
  4. Step 4: Simplify right side
    481,648x = 582,614,677,264
  5. Step 5: Solve for x
    x = 582,614,677,264/481,648
  6. Step 6: Final answer
    x = 1,209,627.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.