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Finding the Third Proportional to 460.88 and 972.75

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Solution

The third proportional to 460.88 and 972.75 is: 2,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 972.75 = 972.75 : x
  2. Step 2: Convert to fraction form
    460.88/972.75 = 972.75/x
  3. Step 3: Cross multiply
    460.88x = 972.75 × 972.75
  4. Step 4: Simplify right side
    460.88x = 946,242.56
  5. Step 5: Solve for x
    x = 946,242.56/460.88
  6. Step 6: Final answer
    x = 2,053.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.