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Finding the Third Proportional to 329,000 and 714,374

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Solution

The third proportional to 329,000 and 714,374 is: 1,551,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000 : 714,374 = 714,374 : x
  2. Step 2: Convert to fraction form
    329,000/714,374 = 714,374/x
  3. Step 3: Cross multiply
    329,000x = 714,374 × 714,374
  4. Step 4: Simplify right side
    329,000x = 510,330,211,876
  5. Step 5: Solve for x
    x = 510,330,211,876/329,000
  6. Step 6: Final answer
    x = 1,551,155.66

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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.