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Finding the Third Proportional to 1,029.07 and 1,234.10

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Solution

The third proportional to 1,029.07 and 1,234.10 is: 1,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.07 : 1,234.10 = 1,234.10 : x
  2. Step 2: Convert to fraction form
    1,029.07/1,234.10 = 1,234.10/x
  3. Step 3: Cross multiply
    1,029.07x = 1,234.10 × 1,234.10
  4. Step 4: Simplify right side
    1,029.07x = 1,523,010.28
  5. Step 5: Solve for x
    x = 1,523,010.28/1,029.07
  6. Step 6: Final answer
    x = 1,479.98

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.