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Finding the Third Proportional to 707.75 and 1,082.63

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Solution

The third proportional to 707.75 and 1,082.63 is: 1,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.75 : 1,082.63 = 1,082.63 : x
  2. Step 2: Convert to fraction form
    707.75/1,082.63 = 1,082.63/x
  3. Step 3: Cross multiply
    707.75x = 1,082.63 × 1,082.63
  4. Step 4: Simplify right side
    707.75x = 1,172,076.89
  5. Step 5: Solve for x
    x = 1,172,076.89/707.75
  6. Step 6: Final answer
    x = 1,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.