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Finding the Third Proportional to 349,504.88 and 764,427.38

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Solution

The third proportional to 349,504.88 and 764,427.38 is: 1,671,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,504.88 : 764,427.38 = 764,427.38 : x
  2. Step 2: Convert to fraction form
    349,504.88/764,427.38 = 764,427.38/x
  3. Step 3: Cross multiply
    349,504.88x = 764,427.38 × 764,427.38
  4. Step 4: Simplify right side
    349,504.88x = 584,349,211,649.39
  5. Step 5: Solve for x
    x = 584,349,211,649.39/349,504.88
  6. Step 6: Final answer
    x = 1,671,934.37

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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.