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Finding the Third Proportional to 440,362.83 and 674,759.74

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Solution

The third proportional to 440,362.83 and 674,759.74 is: 1,033,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,362.83 : 674,759.74 = 674,759.74 : x
  2. Step 2: Convert to fraction form
    440,362.83/674,759.74 = 674,759.74/x
  3. Step 3: Cross multiply
    440,362.83x = 674,759.74 × 674,759.74
  4. Step 4: Simplify right side
    440,362.83x = 455,300,709,676.94
  5. Step 5: Solve for x
    x = 455,300,709,676.94/440,362.83
  6. Step 6: Final answer
    x = 1,033,921.76

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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.