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Finding the Third Proportional to 329,278 and 707,648

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Solution

The third proportional to 329,278 and 707,648 is: 1,520,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,278 : 707,648 = 707,648 : x
  2. Step 2: Convert to fraction form
    329,278/707,648 = 707,648/x
  3. Step 3: Cross multiply
    329,278x = 707,648 × 707,648
  4. Step 4: Simplify right side
    329,278x = 500,765,691,904
  5. Step 5: Solve for x
    x = 500,765,691,904/329,278
  6. Step 6: Final answer
    x = 1,520,799.12

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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.