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Finding the Third Proportional to 389,335 and 844,760

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Solution

The third proportional to 389,335 and 844,760 is: 1,832,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,335 : 844,760 = 844,760 : x
  2. Step 2: Convert to fraction form
    389,335/844,760 = 844,760/x
  3. Step 3: Cross multiply
    389,335x = 844,760 × 844,760
  4. Step 4: Simplify right side
    389,335x = 713,619,457,600
  5. Step 5: Solve for x
    x = 713,619,457,600/389,335
  6. Step 6: Final answer
    x = 1,832,918.84

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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.