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Finding the Third Proportional to 478.76 and 1,000.95

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Solution

The third proportional to 478.76 and 1,000.95 is: 2,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 1,000.95 = 1,000.95 : x
  2. Step 2: Convert to fraction form
    478.76/1,000.95 = 1,000.95/x
  3. Step 3: Cross multiply
    478.76x = 1,000.95 × 1,000.95
  4. Step 4: Simplify right side
    478.76x = 1,001,903.25
  5. Step 5: Solve for x
    x = 1,001,903.25/478.76
  6. Step 6: Final answer
    x = 2,092.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.