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Finding the Third Proportional to 268,225 and 498,410

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Solution

The third proportional to 268,225 and 498,410 is: 926,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,225 : 498,410 = 498,410 : x
  2. Step 2: Convert to fraction form
    268,225/498,410 = 498,410/x
  3. Step 3: Cross multiply
    268,225x = 498,410 × 498,410
  4. Step 4: Simplify right side
    268,225x = 248,412,528,100
  5. Step 5: Solve for x
    x = 248,412,528,100/268,225
  6. Step 6: Final answer
    x = 926,134.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.