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Finding the Third Proportional to 240,384 and 522,240

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Solution

The third proportional to 240,384 and 522,240 is: 1,134,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,384 : 522,240 = 522,240 : x
  2. Step 2: Convert to fraction form
    240,384/522,240 = 522,240/x
  3. Step 3: Cross multiply
    240,384x = 522,240 × 522,240
  4. Step 4: Simplify right side
    240,384x = 272,734,617,600
  5. Step 5: Solve for x
    x = 272,734,617,600/240,384
  6. Step 6: Final answer
    x = 1,134,578.91

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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.