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Finding the Third Proportional to 481,642 and 763,283

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Solution

The third proportional to 481,642 and 763,283 is: 1,209,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,642 : 763,283 = 763,283 : x
  2. Step 2: Convert to fraction form
    481,642/763,283 = 763,283/x
  3. Step 3: Cross multiply
    481,642x = 763,283 × 763,283
  4. Step 4: Simplify right side
    481,642x = 582,600,938,089
  5. Step 5: Solve for x
    x = 582,600,938,089/481,642
  6. Step 6: Final answer
    x = 1,209,614.07

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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.