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Finding the Third Proportional to 704.06 and 1,029.19

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Solution

The third proportional to 704.06 and 1,029.19 is: 1,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.06 : 1,029.19 = 1,029.19 : x
  2. Step 2: Convert to fraction form
    704.06/1,029.19 = 1,029.19/x
  3. Step 3: Cross multiply
    704.06x = 1,029.19 × 1,029.19
  4. Step 4: Simplify right side
    704.06x = 1,059,226.91
  5. Step 5: Solve for x
    x = 1,059,226.91/704.06
  6. Step 6: Final answer
    x = 1,504.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.