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Finding the Third Proportional to 927.07 and 1,456.95

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Solution

The third proportional to 927.07 and 1,456.95 is: 2,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,456.95 = 1,456.95 : x
  2. Step 2: Convert to fraction form
    927.07/1,456.95 = 1,456.95/x
  3. Step 3: Cross multiply
    927.07x = 1,456.95 × 1,456.95
  4. Step 4: Simplify right side
    927.07x = 2,122,689.64
  5. Step 5: Solve for x
    x = 2,122,689.64/927.07
  6. Step 6: Final answer
    x = 2,289.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.