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Finding the Third Proportional to 479.91 and 1,045.17

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Solution

The third proportional to 479.91 and 1,045.17 is: 2,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.91 : 1,045.17 = 1,045.17 : x
  2. Step 2: Convert to fraction form
    479.91/1,045.17 = 1,045.17/x
  3. Step 3: Cross multiply
    479.91x = 1,045.17 × 1,045.17
  4. Step 4: Simplify right side
    479.91x = 1,092,384.25
  5. Step 5: Solve for x
    x = 1,092,384.25/479.91
  6. Step 6: Final answer
    x = 2,276.25

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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.