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Finding the Third Proportional to 460.13 and 698.06

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Solution

The third proportional to 460.13 and 698.06 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.13 : 698.06 = 698.06 : x
  2. Step 2: Convert to fraction form
    460.13/698.06 = 698.06/x
  3. Step 3: Cross multiply
    460.13x = 698.06 × 698.06
  4. Step 4: Simplify right side
    460.13x = 487,291.25
  5. Step 5: Solve for x
    x = 487,291.25/460.13
  6. Step 6: Final answer
    x = 1,059.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.