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Finding the Third Proportional to 349,463.25 and 764,353.13

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Solution

The third proportional to 349,463.25 and 764,353.13 is: 1,671,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,463.25 : 764,353.13 = 764,353.13 : x
  2. Step 2: Convert to fraction form
    349,463.25/764,353.13 = 764,353.13/x
  3. Step 3: Cross multiply
    349,463.25x = 764,353.13 × 764,353.13
  4. Step 4: Simplify right side
    349,463.25x = 584,235,699,697.27
  5. Step 5: Solve for x
    x = 584,235,699,697.27/349,463.25
  6. Step 6: Final answer
    x = 1,671,808.69

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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.