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Finding the Third Proportional to 240,192 and 556,632

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Solution

The third proportional to 240,192 and 556,632 is: 1,289,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,192 : 556,632 = 556,632 : x
  2. Step 2: Convert to fraction form
    240,192/556,632 = 556,632/x
  3. Step 3: Cross multiply
    240,192x = 556,632 × 556,632
  4. Step 4: Simplify right side
    240,192x = 309,839,183,424
  5. Step 5: Solve for x
    x = 309,839,183,424/240,192
  6. Step 6: Final answer
    x = 1,289,964.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.