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Finding the Third Proportional to 329,294 and 707,676

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Solution

The third proportional to 329,294 and 707,676 is: 1,520,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,294 : 707,676 = 707,676 : x
  2. Step 2: Convert to fraction form
    329,294/707,676 = 707,676/x
  3. Step 3: Cross multiply
    329,294x = 707,676 × 707,676
  4. Step 4: Simplify right side
    329,294x = 500,805,320,976
  5. Step 5: Solve for x
    x = 500,805,320,976/329,294
  6. Step 6: Final answer
    x = 1,520,845.57

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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.