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Finding the Third Proportional to 369,399.38 and 801,852.38

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Solution

The third proportional to 369,399.38 and 801,852.38 is: 1,740,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,399.38 : 801,852.38 = 801,852.38 : x
  2. Step 2: Convert to fraction form
    369,399.38/801,852.38 = 801,852.38/x
  3. Step 3: Cross multiply
    369,399.38x = 801,852.38 × 801,852.38
  4. Step 4: Simplify right side
    369,399.38x = 642,967,231,293.14
  5. Step 5: Solve for x
    x = 642,967,231,293.14/369,399.38
  6. Step 6: Final answer
    x = 1,740,574.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.