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Finding the Third Proportional to 582.75 and 909.56

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Solution

The third proportional to 582.75 and 909.56 is: 1,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 909.56 = 909.56 : x
  2. Step 2: Convert to fraction form
    582.75/909.56 = 909.56/x
  3. Step 3: Cross multiply
    582.75x = 909.56 × 909.56
  4. Step 4: Simplify right side
    582.75x = 827,303.94
  5. Step 5: Solve for x
    x = 827,303.94/582.75
  6. Step 6: Final answer
    x = 1,419.65

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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.