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Finding the Third Proportional to 677.75 and 1,402.38

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Solution

The third proportional to 677.75 and 1,402.38 is: 2,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.75 : 1,402.38 = 1,402.38 : x
  2. Step 2: Convert to fraction form
    677.75/1,402.38 = 1,402.38/x
  3. Step 3: Cross multiply
    677.75x = 1,402.38 × 1,402.38
  4. Step 4: Simplify right side
    677.75x = 1,966,655.64
  5. Step 5: Solve for x
    x = 1,966,655.64/677.75
  6. Step 6: Final answer
    x = 2,901.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.