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Finding the Third Proportional to 329,021 and 714,418

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Solution

The third proportional to 329,021 and 714,418 is: 1,551,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021 : 714,418 = 714,418 : x
  2. Step 2: Convert to fraction form
    329,021/714,418 = 714,418/x
  3. Step 3: Cross multiply
    329,021x = 714,418 × 714,418
  4. Step 4: Simplify right side
    329,021x = 510,393,078,724
  5. Step 5: Solve for x
    x = 510,393,078,724/329,021
  6. Step 6: Final answer
    x = 1,551,247.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.