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Finding the Third Proportional to 388,458.75 and 848,966.25

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Solution

The third proportional to 388,458.75 and 848,966.25 is: 1,855,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,458.75 : 848,966.25 = 848,966.25 : x
  2. Step 2: Convert to fraction form
    388,458.75/848,966.25 = 848,966.25/x
  3. Step 3: Cross multiply
    388,458.75x = 848,966.25 × 848,966.25
  4. Step 4: Simplify right side
    388,458.75x = 720,743,693,639.06
  5. Step 5: Solve for x
    x = 720,743,693,639.06/388,458.75
  6. Step 6: Final answer
    x = 1,855,393.12

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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.