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Finding the Third Proportional to 1,046.99 and 1,478.72

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Solution

The third proportional to 1,046.99 and 1,478.72 is: 2,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.99 : 1,478.72 = 1,478.72 : x
  2. Step 2: Convert to fraction form
    1,046.99/1,478.72 = 1,478.72/x
  3. Step 3: Cross multiply
    1,046.99x = 1,478.72 × 1,478.72
  4. Step 4: Simplify right side
    1,046.99x = 2,186,626.47
  5. Step 5: Solve for x
    x = 2,186,626.47/1,046.99
  6. Step 6: Final answer
    x = 2,088.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.