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Finding the Third Proportional to 497,050.22 and 764,950.78

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Solution

The third proportional to 497,050.22 and 764,950.78 is: 1,177,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,050.22 : 764,950.78 = 764,950.78 : x
  2. Step 2: Convert to fraction form
    497,050.22/764,950.78 = 764,950.78/x
  3. Step 3: Cross multiply
    497,050.22x = 764,950.78 × 764,950.78
  4. Step 4: Simplify right side
    497,050.22x = 585,149,697,734.99
  5. Step 5: Solve for x
    x = 585,149,697,734.99/497,050.22
  6. Step 6: Final answer
    x = 1,177,244.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.