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Finding the Third Proportional to 392,883 and 857,733

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Solution

The third proportional to 392,883 and 857,733 is: 1,872,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,883 : 857,733 = 857,733 : x
  2. Step 2: Convert to fraction form
    392,883/857,733 = 857,733/x
  3. Step 3: Cross multiply
    392,883x = 857,733 × 857,733
  4. Step 4: Simplify right side
    392,883x = 735,705,899,289
  5. Step 5: Solve for x
    x = 735,705,899,289/392,883
  6. Step 6: Final answer
    x = 1,872,582.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.