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Finding the Third Proportional to 240,384 and 529,920

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Solution

The third proportional to 240,384 and 529,920 is: 1,168,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,384 : 529,920 = 529,920 : x
  2. Step 2: Convert to fraction form
    240,384/529,920 = 529,920/x
  3. Step 3: Cross multiply
    240,384x = 529,920 × 529,920
  4. Step 4: Simplify right side
    240,384x = 280,815,206,400
  5. Step 5: Solve for x
    x = 280,815,206,400/240,384
  6. Step 6: Final answer
    x = 1,168,194.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.