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Finding the Third Proportional to 349,464.38 and 764,355.38

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Solution

The third proportional to 349,464.38 and 764,355.38 is: 1,671,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,464.38 : 764,355.38 = 764,355.38 : x
  2. Step 2: Convert to fraction form
    349,464.38/764,355.38 = 764,355.38/x
  3. Step 3: Cross multiply
    349,464.38x = 764,355.38 × 764,355.38
  4. Step 4: Simplify right side
    349,464.38x = 584,239,139,291.39
  5. Step 5: Solve for x
    x = 584,239,139,291.39/349,464.38
  6. Step 6: Final answer
    x = 1,671,813.15

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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.