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Finding the Third Proportional to 385,034 and 844,468

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Solution

The third proportional to 385,034 and 844,468 is: 1,852,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,034 : 844,468 = 844,468 : x
  2. Step 2: Convert to fraction form
    385,034/844,468 = 844,468/x
  3. Step 3: Cross multiply
    385,034x = 844,468 × 844,468
  4. Step 4: Simplify right side
    385,034x = 713,126,203,024
  5. Step 5: Solve for x
    x = 713,126,203,024/385,034
  6. Step 6: Final answer
    x = 1,852,112.29

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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.