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Finding the Third Proportional to 365,071 and 735,569

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Solution

The third proportional to 365,071 and 735,569 is: 1,482,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,071 : 735,569 = 735,569 : x
  2. Step 2: Convert to fraction form
    365,071/735,569 = 735,569/x
  3. Step 3: Cross multiply
    365,071x = 735,569 × 735,569
  4. Step 4: Simplify right side
    365,071x = 541,061,753,761
  5. Step 5: Solve for x
    x = 541,061,753,761/365,071
  6. Step 6: Final answer
    x = 1,482,072.68

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.