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Finding the Third Proportional to 313,692 and 672,921

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Solution

The third proportional to 313,692 and 672,921 is: 1,443,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,692 : 672,921 = 672,921 : x
  2. Step 2: Convert to fraction form
    313,692/672,921 = 672,921/x
  3. Step 3: Cross multiply
    313,692x = 672,921 × 672,921
  4. Step 4: Simplify right side
    313,692x = 452,822,672,241
  5. Step 5: Solve for x
    x = 452,822,672,241/313,692
  6. Step 6: Final answer
    x = 1,443,526.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.