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Finding the Third Proportional to 448,976 and 976,508

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Solution

The third proportional to 448,976 and 976,508 is: 2,123,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,976 : 976,508 = 976,508 : x
  2. Step 2: Convert to fraction form
    448,976/976,508 = 976,508/x
  3. Step 3: Cross multiply
    448,976x = 976,508 × 976,508
  4. Step 4: Simplify right side
    448,976x = 953,567,874,064
  5. Step 5: Solve for x
    x = 953,567,874,064/448,976
  6. Step 6: Final answer
    x = 2,123,872.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.