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Finding the Third Proportional to 705.38 and 1,031.06

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Solution

The third proportional to 705.38 and 1,031.06 is: 1,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,031.06 = 1,031.06 : x
  2. Step 2: Convert to fraction form
    705.38/1,031.06 = 1,031.06/x
  3. Step 3: Cross multiply
    705.38x = 1,031.06 × 1,031.06
  4. Step 4: Simplify right side
    705.38x = 1,063,089.88
  5. Step 5: Solve for x
    x = 1,063,089.88/705.38
  6. Step 6: Final answer
    x = 1,507.13

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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.