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Finding the Third Proportional to 460.69 and 860.63

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Solution

The third proportional to 460.69 and 860.63 is: 1,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 860.63 = 860.63 : x
  2. Step 2: Convert to fraction form
    460.69/860.63 = 860.63/x
  3. Step 3: Cross multiply
    460.69x = 860.63 × 860.63
  4. Step 4: Simplify right side
    460.69x = 740,675.39
  5. Step 5: Solve for x
    x = 740,675.39/460.69
  6. Step 6: Final answer
    x = 1,607.76

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.