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Finding the Third Proportional to 385,040 and 844,480

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Solution

The third proportional to 385,040 and 844,480 is: 1,852,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,040 : 844,480 = 844,480 : x
  2. Step 2: Convert to fraction form
    385,040/844,480 = 844,480/x
  3. Step 3: Cross multiply
    385,040x = 844,480 × 844,480
  4. Step 4: Simplify right side
    385,040x = 713,146,470,400
  5. Step 5: Solve for x
    x = 713,146,470,400/385,040
  6. Step 6: Final answer
    x = 1,852,136.06

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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.