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Finding the Third Proportional to 651.19 and 990.38

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Solution

The third proportional to 651.19 and 990.38 is: 1,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.19 : 990.38 = 990.38 : x
  2. Step 2: Convert to fraction form
    651.19/990.38 = 990.38/x
  3. Step 3: Cross multiply
    651.19x = 990.38 × 990.38
  4. Step 4: Simplify right side
    651.19x = 980,842.64
  5. Step 5: Solve for x
    x = 980,842.64/651.19
  6. Step 6: Final answer
    x = 1,506.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.