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Finding the Third Proportional to 482,899 and 655,841

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Solution

The third proportional to 482,899 and 655,841 is: 890,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,899 : 655,841 = 655,841 : x
  2. Step 2: Convert to fraction form
    482,899/655,841 = 655,841/x
  3. Step 3: Cross multiply
    482,899x = 655,841 × 655,841
  4. Step 4: Simplify right side
    482,899x = 430,127,417,281
  5. Step 5: Solve for x
    x = 430,127,417,281/482,899
  6. Step 6: Final answer
    x = 890,719.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.