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Finding the Third Proportional to 227,527 and 490,532

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Solution

The third proportional to 227,527 and 490,532 is: 1,057,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,527 : 490,532 = 490,532 : x
  2. Step 2: Convert to fraction form
    227,527/490,532 = 490,532/x
  3. Step 3: Cross multiply
    227,527x = 490,532 × 490,532
  4. Step 4: Simplify right side
    227,527x = 240,621,643,024
  5. Step 5: Solve for x
    x = 240,621,643,024/227,527
  6. Step 6: Final answer
    x = 1,057,552.04

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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.