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Finding the Third Proportional to 481,650 and 763,295

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Solution

The third proportional to 481,650 and 763,295 is: 1,209,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,650 : 763,295 = 763,295 : x
  2. Step 2: Convert to fraction form
    481,650/763,295 = 763,295/x
  3. Step 3: Cross multiply
    481,650x = 763,295 × 763,295
  4. Step 4: Simplify right side
    481,650x = 582,619,257,025
  5. Step 5: Solve for x
    x = 582,619,257,025/481,650
  6. Step 6: Final answer
    x = 1,209,632.01

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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.