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Finding the Third Proportional to 330,972 and 714,414

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Solution

The third proportional to 330,972 and 714,414 is: 1,542,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,972 : 714,414 = 714,414 : x
  2. Step 2: Convert to fraction form
    330,972/714,414 = 714,414/x
  3. Step 3: Cross multiply
    330,972x = 714,414 × 714,414
  4. Step 4: Simplify right side
    330,972x = 510,387,363,396
  5. Step 5: Solve for x
    x = 510,387,363,396/330,972
  6. Step 6: Final answer
    x = 1,542,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.