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Finding the Third Proportional to 313,465 and 739,850.50

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Solution

The third proportional to 313,465 and 739,850.50 is: 1,746,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,465 : 739,850.50 = 739,850.50 : x
  2. Step 2: Convert to fraction form
    313,465/739,850.50 = 739,850.50/x
  3. Step 3: Cross multiply
    313,465x = 739,850.50 × 739,850.50
  4. Step 4: Simplify right side
    313,465x = 547,378,762,350.25
  5. Step 5: Solve for x
    x = 547,378,762,350.25/313,465
  6. Step 6: Final answer
    x = 1,746,219.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.