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Finding the Third Proportional to 565.78 and 900.28

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Solution

The third proportional to 565.78 and 900.28 is: 1,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 900.28 = 900.28 : x
  2. Step 2: Convert to fraction form
    565.78/900.28 = 900.28/x
  3. Step 3: Cross multiply
    565.78x = 900.28 × 900.28
  4. Step 4: Simplify right side
    565.78x = 810,506.33
  5. Step 5: Solve for x
    x = 810,506.33/565.78
  6. Step 6: Final answer
    x = 1,432.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.