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Finding the Third Proportional to 565.26 and 907.69

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Solution

The third proportional to 565.26 and 907.69 is: 1,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 907.69 = 907.69 : x
  2. Step 2: Convert to fraction form
    565.26/907.69 = 907.69/x
  3. Step 3: Cross multiply
    565.26x = 907.69 × 907.69
  4. Step 4: Simplify right side
    565.26x = 823,901.92
  5. Step 5: Solve for x
    x = 823,901.92/565.26
  6. Step 6: Final answer
    x = 1,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.