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Finding the Third Proportional to 542.63 and 1,058.16

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Solution

The third proportional to 542.63 and 1,058.16 is: 2,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 1,058.16 = 1,058.16 : x
  2. Step 2: Convert to fraction form
    542.63/1,058.16 = 1,058.16/x
  3. Step 3: Cross multiply
    542.63x = 1,058.16 × 1,058.16
  4. Step 4: Simplify right side
    542.63x = 1,119,694.65
  5. Step 5: Solve for x
    x = 1,119,694.65/542.63
  6. Step 6: Final answer
    x = 2,063.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.