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Finding the Third Proportional to 330,384 and 721,452

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Solution

The third proportional to 330,384 and 721,452 is: 1,575,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,384 : 721,452 = 721,452 : x
  2. Step 2: Convert to fraction form
    330,384/721,452 = 721,452/x
  3. Step 3: Cross multiply
    330,384x = 721,452 × 721,452
  4. Step 4: Simplify right side
    330,384x = 520,492,988,304
  5. Step 5: Solve for x
    x = 520,492,988,304/330,384
  6. Step 6: Final answer
    x = 1,575,418.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.