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Finding the Third Proportional to 388,800.75 and 852,334.13

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Solution

The third proportional to 388,800.75 and 852,334.13 is: 1,868,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,800.75 : 852,334.13 = 852,334.13 : x
  2. Step 2: Convert to fraction form
    388,800.75/852,334.13 = 852,334.13/x
  3. Step 3: Cross multiply
    388,800.75x = 852,334.13 × 852,334.13
  4. Step 4: Simplify right side
    388,800.75x = 726,473,460,639.52
  5. Step 5: Solve for x
    x = 726,473,460,639.52/388,800.75
  6. Step 6: Final answer
    x = 1,868,498.09

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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.