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Finding the Third Proportional to 349,452.70 and 764,333.02

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Solution

The third proportional to 349,452.70 and 764,333.02 is: 1,671,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,452.70 : 764,333.02 = 764,333.02 : x
  2. Step 2: Convert to fraction form
    349,452.70/764,333.02 = 764,333.02/x
  3. Step 3: Cross multiply
    349,452.70x = 764,333.02 × 764,333.02
  4. Step 4: Simplify right side
    349,452.70x = 584,204,958,774.41
  5. Step 5: Solve for x
    x = 584,204,958,774.41/349,452.70
  6. Step 6: Final answer
    x = 1,671,771.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.