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Finding the Third Proportional to 565.42 and 903.02

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Solution

The third proportional to 565.42 and 903.02 is: 1,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 903.02 = 903.02 : x
  2. Step 2: Convert to fraction form
    565.42/903.02 = 903.02/x
  3. Step 3: Cross multiply
    565.42x = 903.02 × 903.02
  4. Step 4: Simplify right side
    565.42x = 815,451.33
  5. Step 5: Solve for x
    x = 815,451.33/565.42
  6. Step 6: Final answer
    x = 1,442.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.