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Finding the Third Proportional to 749.88 and 1,557.35

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Solution

The third proportional to 749.88 and 1,557.35 is: 3,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,557.35 = 1,557.35 : x
  2. Step 2: Convert to fraction form
    749.88/1,557.35 = 1,557.35/x
  3. Step 3: Cross multiply
    749.88x = 1,557.35 × 1,557.35
  4. Step 4: Simplify right side
    749.88x = 2,425,343.89
  5. Step 5: Solve for x
    x = 2,425,343.89/749.88
  6. Step 6: Final answer
    x = 3,234.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.