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Finding the Third Proportional to 352,419.75 and 530,187.75

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Solution

The third proportional to 352,419.75 and 530,187.75 is: 797,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,419.75 : 530,187.75 = 530,187.75 : x
  2. Step 2: Convert to fraction form
    352,419.75/530,187.75 = 530,187.75/x
  3. Step 3: Cross multiply
    352,419.75x = 530,187.75 × 530,187.75
  4. Step 4: Simplify right side
    352,419.75x = 281,099,050,250.06
  5. Step 5: Solve for x
    x = 281,099,050,250.06/352,419.75
  6. Step 6: Final answer
    x = 797,625.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.