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Finding the Third Proportional to 457.03 and 490.78

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Solution

The third proportional to 457.03 and 490.78 is: 527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.03 : 490.78 = 490.78 : x
  2. Step 2: Convert to fraction form
    457.03/490.78 = 490.78/x
  3. Step 3: Cross multiply
    457.03x = 490.78 × 490.78
  4. Step 4: Simplify right side
    457.03x = 240,866.24
  5. Step 5: Solve for x
    x = 240,866.24/457.03
  6. Step 6: Final answer
    x = 527.02

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.