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Finding the Third Proportional to 330,960 and 714,396

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Solution

The third proportional to 330,960 and 714,396 is: 1,542,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,960 : 714,396 = 714,396 : x
  2. Step 2: Convert to fraction form
    330,960/714,396 = 714,396/x
  3. Step 3: Cross multiply
    330,960x = 714,396 × 714,396
  4. Step 4: Simplify right side
    330,960x = 510,361,644,816
  5. Step 5: Solve for x
    x = 510,361,644,816/330,960
  6. Step 6: Final answer
    x = 1,542,064.43

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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.