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Finding the Third Proportional to 709.07 and 1,475.09

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Solution

The third proportional to 709.07 and 1,475.09 is: 3,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.07 : 1,475.09 = 1,475.09 : x
  2. Step 2: Convert to fraction form
    709.07/1,475.09 = 1,475.09/x
  3. Step 3: Cross multiply
    709.07x = 1,475.09 × 1,475.09
  4. Step 4: Simplify right side
    709.07x = 2,175,878.52
  5. Step 5: Solve for x
    x = 2,175,878.52/709.07
  6. Step 6: Final answer
    x = 3,068.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.