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Finding the Third Proportional to 240,838 and 529,348

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Solution

The third proportional to 240,838 and 529,348 is: 1,163,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,838 : 529,348 = 529,348 : x
  2. Step 2: Convert to fraction form
    240,838/529,348 = 529,348/x
  3. Step 3: Cross multiply
    240,838x = 529,348 × 529,348
  4. Step 4: Simplify right side
    240,838x = 280,209,305,104
  5. Step 5: Solve for x
    x = 280,209,305,104/240,838
  6. Step 6: Final answer
    x = 1,163,476.30

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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.