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Finding the Third Proportional to 669.88 and 1,458.63

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Solution

The third proportional to 669.88 and 1,458.63 is: 3,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.88 : 1,458.63 = 1,458.63 : x
  2. Step 2: Convert to fraction form
    669.88/1,458.63 = 1,458.63/x
  3. Step 3: Cross multiply
    669.88x = 1,458.63 × 1,458.63
  4. Step 4: Simplify right side
    669.88x = 2,127,586.89
  5. Step 5: Solve for x
    x = 2,127,586.89/669.88
  6. Step 6: Final answer
    x = 3,176.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.