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Finding the Third Proportional to 488.85 and 1,046.99

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Solution

The third proportional to 488.85 and 1,046.99 is: 2,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 1,046.99 = 1,046.99 : x
  2. Step 2: Convert to fraction form
    488.85/1,046.99 = 1,046.99/x
  3. Step 3: Cross multiply
    488.85x = 1,046.99 × 1,046.99
  4. Step 4: Simplify right side
    488.85x = 1,096,184.46
  5. Step 5: Solve for x
    x = 1,096,184.46/488.85
  6. Step 6: Final answer
    x = 2,242.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.