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Finding the Third Proportional to 388,088.25 and 835,194

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Solution

The third proportional to 388,088.25 and 835,194 is: 1,797,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,088.25 : 835,194 = 835,194 : x
  2. Step 2: Convert to fraction form
    388,088.25/835,194 = 835,194/x
  3. Step 3: Cross multiply
    388,088.25x = 835,194 × 835,194
  4. Step 4: Simplify right side
    388,088.25x = 697,549,017,636
  5. Step 5: Solve for x
    x = 697,549,017,636/388,088.25
  6. Step 6: Final answer
    x = 1,797,397.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.