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Finding the Third Proportional to 921.73 and 1,460.20

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Solution

The third proportional to 921.73 and 1,460.20 is: 2,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.73 : 1,460.20 = 1,460.20 : x
  2. Step 2: Convert to fraction form
    921.73/1,460.20 = 1,460.20/x
  3. Step 3: Cross multiply
    921.73x = 1,460.20 × 1,460.20
  4. Step 4: Simplify right side
    921.73x = 2,132,176.05
  5. Step 5: Solve for x
    x = 2,132,176.05/921.73
  6. Step 6: Final answer
    x = 2,313.24

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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.