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Finding the Third Proportional to 459.35 and 1,001.32

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Solution

The third proportional to 459.35 and 1,001.32 is: 2,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 1,001.32 = 1,001.32 : x
  2. Step 2: Convert to fraction form
    459.35/1,001.32 = 1,001.32/x
  3. Step 3: Cross multiply
    459.35x = 1,001.32 × 1,001.32
  4. Step 4: Simplify right side
    459.35x = 1,002,642.37
  5. Step 5: Solve for x
    x = 1,002,642.37/459.35
  6. Step 6: Final answer
    x = 2,182.73

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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.