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Finding the Third Proportional to 315,938 and 676,372

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Solution

The third proportional to 315,938 and 676,372 is: 1,448,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,938 : 676,372 = 676,372 : x
  2. Step 2: Convert to fraction form
    315,938/676,372 = 676,372/x
  3. Step 3: Cross multiply
    315,938x = 676,372 × 676,372
  4. Step 4: Simplify right side
    315,938x = 457,479,082,384
  5. Step 5: Solve for x
    x = 457,479,082,384/315,938
  6. Step 6: Final answer
    x = 1,448,002.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.