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Finding the Third Proportional to 524,379 and 801,850.50

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Solution

The third proportional to 524,379 and 801,850.50 is: 1,226,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,379 : 801,850.50 = 801,850.50 : x
  2. Step 2: Convert to fraction form
    524,379/801,850.50 = 801,850.50/x
  3. Step 3: Cross multiply
    524,379x = 801,850.50 × 801,850.50
  4. Step 4: Simplify right side
    524,379x = 642,964,224,350.25
  5. Step 5: Solve for x
    x = 642,964,224,350.25/524,379
  6. Step 6: Final answer
    x = 1,226,144.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.