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Finding the Third Proportional to 460.88 and 726.94

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Solution

The third proportional to 460.88 and 726.94 is: 1,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 726.94 = 726.94 : x
  2. Step 2: Convert to fraction form
    460.88/726.94 = 726.94/x
  3. Step 3: Cross multiply
    460.88x = 726.94 × 726.94
  4. Step 4: Simplify right side
    460.88x = 528,438.13
  5. Step 5: Solve for x
    x = 528,438.13/460.88
  6. Step 6: Final answer
    x = 1,146.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.