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Finding the Third Proportional to 391,256 and 857,518

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Solution

The third proportional to 391,256 and 857,518 is: 1,879,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,256 : 857,518 = 857,518 : x
  2. Step 2: Convert to fraction form
    391,256/857,518 = 857,518/x
  3. Step 3: Cross multiply
    391,256x = 857,518 × 857,518
  4. Step 4: Simplify right side
    391,256x = 735,337,120,324
  5. Step 5: Solve for x
    x = 735,337,120,324/391,256
  6. Step 6: Final answer
    x = 1,879,427.08

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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.