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Finding the Third Proportional to 565.31 and 1,256.88

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Solution

The third proportional to 565.31 and 1,256.88 is: 2,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 1,256.88 = 1,256.88 : x
  2. Step 2: Convert to fraction form
    565.31/1,256.88 = 1,256.88/x
  3. Step 3: Cross multiply
    565.31x = 1,256.88 × 1,256.88
  4. Step 4: Simplify right side
    565.31x = 1,579,734.77
  5. Step 5: Solve for x
    x = 1,579,734.77/565.31
  6. Step 6: Final answer
    x = 2,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.