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Finding the Third Proportional to 999.56 and 1,470.09

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Solution

The third proportional to 999.56 and 1,470.09 is: 2,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.56 : 1,470.09 = 1,470.09 : x
  2. Step 2: Convert to fraction form
    999.56/1,470.09 = 1,470.09/x
  3. Step 3: Cross multiply
    999.56x = 1,470.09 × 1,470.09
  4. Step 4: Simplify right side
    999.56x = 2,161,175.63
  5. Step 5: Solve for x
    x = 2,161,175.63/999.56
  6. Step 6: Final answer
    x = 2,162.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.