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Finding the Third Proportional to 349,462.13 and 764,350.88

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Solution

The third proportional to 349,462.13 and 764,350.88 is: 1,671,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,462.13 : 764,350.88 = 764,350.88 : x
  2. Step 2: Convert to fraction form
    349,462.13/764,350.88 = 764,350.88/x
  3. Step 3: Cross multiply
    349,462.13x = 764,350.88 × 764,350.88
  4. Step 4: Simplify right side
    349,462.13x = 584,232,260,113.27
  5. Step 5: Solve for x
    x = 584,232,260,113.27/349,462.13
  6. Step 6: Final answer
    x = 1,671,804.23

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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.