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Finding the Third Proportional to 210.52 and 458.79

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Solution

The third proportional to 210.52 and 458.79 is: 999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.52 : 458.79 = 458.79 : x
  2. Step 2: Convert to fraction form
    210.52/458.79 = 458.79/x
  3. Step 3: Cross multiply
    210.52x = 458.79 × 458.79
  4. Step 4: Simplify right side
    210.52x = 210,487.40
  5. Step 5: Solve for x
    x = 210,487.40/210.52
  6. Step 6: Final answer
    x = 999.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.