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Finding the Third Proportional to 434.25 and 569.81

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Solution

The third proportional to 434.25 and 569.81 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 569.81 = 569.81 : x
  2. Step 2: Convert to fraction form
    434.25/569.81 = 569.81/x
  3. Step 3: Cross multiply
    434.25x = 569.81 × 569.81
  4. Step 4: Simplify right side
    434.25x = 324,686.29
  5. Step 5: Solve for x
    x = 324,686.29/434.25
  6. Step 6: Final answer
    x = 747.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.