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Finding the Third Proportional to 435.38 and 577.13

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Solution

The third proportional to 435.38 and 577.13 is: 765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 577.13 = 577.13 : x
  2. Step 2: Convert to fraction form
    435.38/577.13 = 577.13/x
  3. Step 3: Cross multiply
    435.38x = 577.13 × 577.13
  4. Step 4: Simplify right side
    435.38x = 333,073.27
  5. Step 5: Solve for x
    x = 333,073.27/435.38
  6. Step 6: Final answer
    x = 765.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.