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Finding the Third Proportional to 448 and 591

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Solution

The third proportional to 448 and 591 is: 779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 591 = 591 : x
  2. Step 2: Convert to fraction form
    448/591 = 591/x
  3. Step 3: Cross multiply
    448x = 591 × 591
  4. Step 4: Simplify right side
    448x = 349,281
  5. Step 5: Solve for x
    x = 349,281/448
  6. Step 6: Final answer
    x = 779.65

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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.