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Finding the Third Proportional to 240,320 and 519,184

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Solution

The third proportional to 240,320 and 519,184 is: 1,121,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,320 : 519,184 = 519,184 : x
  2. Step 2: Convert to fraction form
    240,320/519,184 = 519,184/x
  3. Step 3: Cross multiply
    240,320x = 519,184 × 519,184
  4. Step 4: Simplify right side
    240,320x = 269,552,025,856
  5. Step 5: Solve for x
    x = 269,552,025,856/240,320
  6. Step 6: Final answer
    x = 1,121,637.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.