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Finding the Third Proportional to 499.08 and 1,058.91

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Solution

The third proportional to 499.08 and 1,058.91 is: 2,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 1,058.91 = 1,058.91 : x
  2. Step 2: Convert to fraction form
    499.08/1,058.91 = 1,058.91/x
  3. Step 3: Cross multiply
    499.08x = 1,058.91 × 1,058.91
  4. Step 4: Simplify right side
    499.08x = 1,121,282.45
  5. Step 5: Solve for x
    x = 1,121,282.45/499.08
  6. Step 6: Final answer
    x = 2,246.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.