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Finding the Third Proportional to 458.16 and 1,018.55

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Solution

The third proportional to 458.16 and 1,018.55 is: 2,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 1,018.55 = 1,018.55 : x
  2. Step 2: Convert to fraction form
    458.16/1,018.55 = 1,018.55/x
  3. Step 3: Cross multiply
    458.16x = 1,018.55 × 1,018.55
  4. Step 4: Simplify right side
    458.16x = 1,037,437.74
  5. Step 5: Solve for x
    x = 1,037,437.74/458.16
  6. Step 6: Final answer
    x = 2,264.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.