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Finding the Third Proportional to 663.75 and 1,421.58

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Solution

The third proportional to 663.75 and 1,421.58 is: 3,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 1,421.58 = 1,421.58 : x
  2. Step 2: Convert to fraction form
    663.75/1,421.58 = 1,421.58/x
  3. Step 3: Cross multiply
    663.75x = 1,421.58 × 1,421.58
  4. Step 4: Simplify right side
    663.75x = 2,020,884.37
  5. Step 5: Solve for x
    x = 2,020,884.37/663.75
  6. Step 6: Final answer
    x = 3,044.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.