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Finding the Third Proportional to 467,232.05 and 613,504.76

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Solution

The third proportional to 467,232.05 and 613,504.76 is: 805,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,232.05 : 613,504.76 = 613,504.76 : x
  2. Step 2: Convert to fraction form
    467,232.05/613,504.76 = 613,504.76/x
  3. Step 3: Cross multiply
    467,232.05x = 613,504.76 × 613,504.76
  4. Step 4: Simplify right side
    467,232.05x = 376,388,087,858.57
  5. Step 5: Solve for x
    x = 376,388,087,858.57/467,232.05
  6. Step 6: Final answer
    x = 805,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.