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Finding the Third Proportional to 707.91 and 1,094.06

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Solution

The third proportional to 707.91 and 1,094.06 is: 1,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.91 : 1,094.06 = 1,094.06 : x
  2. Step 2: Convert to fraction form
    707.91/1,094.06 = 1,094.06/x
  3. Step 3: Cross multiply
    707.91x = 1,094.06 × 1,094.06
  4. Step 4: Simplify right side
    707.91x = 1,196,972.75
  5. Step 5: Solve for x
    x = 1,196,972.75/707.91
  6. Step 6: Final answer
    x = 1,690.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.