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Finding the Third Proportional to 338,832 and 721,488

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Solution

The third proportional to 338,832 and 721,488 is: 1,536,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,832 : 721,488 = 721,488 : x
  2. Step 2: Convert to fraction form
    338,832/721,488 = 721,488/x
  3. Step 3: Cross multiply
    338,832x = 721,488 × 721,488
  4. Step 4: Simplify right side
    338,832x = 520,544,934,144
  5. Step 5: Solve for x
    x = 520,544,934,144/338,832
  6. Step 6: Final answer
    x = 1,536,292.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.