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Finding the Third Proportional to 349,456.13 and 764,340

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Solution

The third proportional to 349,456.13 and 764,340 is: 1,671,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456.13 : 764,340 = 764,340 : x
  2. Step 2: Convert to fraction form
    349,456.13/764,340 = 764,340/x
  3. Step 3: Cross multiply
    349,456.13x = 764,340 × 764,340
  4. Step 4: Simplify right side
    349,456.13x = 584,215,635,600
  5. Step 5: Solve for x
    x = 584,215,635,600/349,456.13
  6. Step 6: Final answer
    x = 1,671,785.37

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