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Finding the Third Proportional to 689,317.50 and 1,496,325

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Solution

The third proportional to 689,317.50 and 1,496,325 is: 3,248,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,317.50 : 1,496,325 = 1,496,325 : x
  2. Step 2: Convert to fraction form
    689,317.50/1,496,325 = 1,496,325/x
  3. Step 3: Cross multiply
    689,317.50x = 1,496,325 × 1,496,325
  4. Step 4: Simplify right side
    689,317.50x = 2,238,988,505,625
  5. Step 5: Solve for x
    x = 2,238,988,505,625/689,317.50
  6. Step 6: Final answer
    x = 3,248,123.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.