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Finding the Third Proportional to 225,384 and 488,352

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Solution

The third proportional to 225,384 and 488,352 is: 1,058,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,384 : 488,352 = 488,352 : x
  2. Step 2: Convert to fraction form
    225,384/488,352 = 488,352/x
  3. Step 3: Cross multiply
    225,384x = 488,352 × 488,352
  4. Step 4: Simplify right side
    225,384x = 238,487,675,904
  5. Step 5: Solve for x
    x = 238,487,675,904/225,384
  6. Step 6: Final answer
    x = 1,058,139.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.