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Finding the Third Proportional to 330,382 and 721,448

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Solution

The third proportional to 330,382 and 721,448 is: 1,575,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,382 : 721,448 = 721,448 : x
  2. Step 2: Convert to fraction form
    330,382/721,448 = 721,448/x
  3. Step 3: Cross multiply
    330,382x = 721,448 × 721,448
  4. Step 4: Simplify right side
    330,382x = 520,487,216,704
  5. Step 5: Solve for x
    x = 520,487,216,704/330,382
  6. Step 6: Final answer
    x = 1,575,410.33

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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.