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Finding the Third Proportional to 223,488 and 488,448

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Solution

The third proportional to 223,488 and 488,448 is: 1,067,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,488 : 488,448 = 488,448 : x
  2. Step 2: Convert to fraction form
    223,488/488,448 = 488,448/x
  3. Step 3: Cross multiply
    223,488x = 488,448 × 488,448
  4. Step 4: Simplify right side
    223,488x = 238,581,448,704
  5. Step 5: Solve for x
    x = 238,581,448,704/223,488
  6. Step 6: Final answer
    x = 1,067,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.