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Finding the Third Proportional to 384,795 and 835,292.25

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Solution

The third proportional to 384,795 and 835,292.25 is: 1,813,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,795 : 835,292.25 = 835,292.25 : x
  2. Step 2: Convert to fraction form
    384,795/835,292.25 = 835,292.25/x
  3. Step 3: Cross multiply
    384,795x = 835,292.25 × 835,292.25
  4. Step 4: Simplify right side
    384,795x = 697,713,142,910.06
  5. Step 5: Solve for x
    x = 697,713,142,910.06/384,795
  6. Step 6: Final answer
    x = 1,813,207.40

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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.