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Finding the Third Proportional to 272,080 and 588,484

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Solution

The third proportional to 272,080 and 588,484 is: 1,272,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,080 : 588,484 = 588,484 : x
  2. Step 2: Convert to fraction form
    272,080/588,484 = 588,484/x
  3. Step 3: Cross multiply
    272,080x = 588,484 × 588,484
  4. Step 4: Simplify right side
    272,080x = 346,313,418,256
  5. Step 5: Solve for x
    x = 346,313,418,256/272,080
  6. Step 6: Final answer
    x = 1,272,836.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.