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Finding the Third Proportional to 435.38 and 677.11

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Solution

The third proportional to 435.38 and 677.11 is: 1,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 677.11 = 677.11 : x
  2. Step 2: Convert to fraction form
    435.38/677.11 = 677.11/x
  3. Step 3: Cross multiply
    435.38x = 677.11 × 677.11
  4. Step 4: Simplify right side
    435.38x = 458,477.11
  5. Step 5: Solve for x
    x = 458,477.11/435.38
  6. Step 6: Final answer
    x = 1,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.