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Finding the Third Proportional to 565.59 and 745.45

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Solution

The third proportional to 565.59 and 745.45 is: 982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 745.45 = 745.45 : x
  2. Step 2: Convert to fraction form
    565.59/745.45 = 745.45/x
  3. Step 3: Cross multiply
    565.59x = 745.45 × 745.45
  4. Step 4: Simplify right side
    565.59x = 555,700.36
  5. Step 5: Solve for x
    x = 555,700.36/565.59
  6. Step 6: Final answer
    x = 982.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.