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Finding the Third Proportional to 488.25 and 1,058.63

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Solution

The third proportional to 488.25 and 1,058.63 is: 2,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 1,058.63 = 1,058.63 : x
  2. Step 2: Convert to fraction form
    488.25/1,058.63 = 1,058.63/x
  3. Step 3: Cross multiply
    488.25x = 1,058.63 × 1,058.63
  4. Step 4: Simplify right side
    488.25x = 1,120,686.89
  5. Step 5: Solve for x
    x = 1,120,686.89/488.25
  6. Step 6: Final answer
    x = 2,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.