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Finding the Third Proportional to 508.78 and 747.98

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Solution

The third proportional to 508.78 and 747.98 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 747.98 = 747.98 : x
  2. Step 2: Convert to fraction form
    508.78/747.98 = 747.98/x
  3. Step 3: Cross multiply
    508.78x = 747.98 × 747.98
  4. Step 4: Simplify right side
    508.78x = 559,480.63
  5. Step 5: Solve for x
    x = 559,480.63/508.78
  6. Step 6: Final answer
    x = 1,099.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.