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Finding the Third Proportional to 384,981 and 794,352

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Solution

The third proportional to 384,981 and 794,352 is: 1,639,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,981 : 794,352 = 794,352 : x
  2. Step 2: Convert to fraction form
    384,981/794,352 = 794,352/x
  3. Step 3: Cross multiply
    384,981x = 794,352 × 794,352
  4. Step 4: Simplify right side
    384,981x = 630,995,099,904
  5. Step 5: Solve for x
    x = 630,995,099,904/384,981
  6. Step 6: Final answer
    x = 1,639,029.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.