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Finding the Third Proportional to 386,389.13 and 839,311.13

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Solution

The third proportional to 386,389.13 and 839,311.13 is: 1,823,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,389.13 : 839,311.13 = 839,311.13 : x
  2. Step 2: Convert to fraction form
    386,389.13/839,311.13 = 839,311.13/x
  3. Step 3: Cross multiply
    386,389.13x = 839,311.13 × 839,311.13
  4. Step 4: Simplify right side
    386,389.13x = 704,443,164,548.77
  5. Step 5: Solve for x
    x = 704,443,164,548.77/386,389.13
  6. Step 6: Final answer
    x = 1,823,144.39

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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.