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Finding the Third Proportional to 385,014 and 844,428

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Solution

The third proportional to 385,014 and 844,428 is: 1,852,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,014 : 844,428 = 844,428 : x
  2. Step 2: Convert to fraction form
    385,014/844,428 = 844,428/x
  3. Step 3: Cross multiply
    385,014x = 844,428 × 844,428
  4. Step 4: Simplify right side
    385,014x = 713,058,647,184
  5. Step 5: Solve for x
    x = 713,058,647,184/385,014
  6. Step 6: Final answer
    x = 1,852,033.04

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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.