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Finding the Third Proportional to 460.88 and 700.88

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Solution

The third proportional to 460.88 and 700.88 is: 1,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 700.88 = 700.88 : x
  2. Step 2: Convert to fraction form
    460.88/700.88 = 700.88/x
  3. Step 3: Cross multiply
    460.88x = 700.88 × 700.88
  4. Step 4: Simplify right side
    460.88x = 491,225.77
  5. Step 5: Solve for x
    x = 491,225.77/460.88
  6. Step 6: Final answer
    x = 1,065.85

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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.