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Finding the Third Proportional to 363,748 and 857,451

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Solution

The third proportional to 363,748 and 857,451 is: 2,021,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,748 : 857,451 = 857,451 : x
  2. Step 2: Convert to fraction form
    363,748/857,451 = 857,451/x
  3. Step 3: Cross multiply
    363,748x = 857,451 × 857,451
  4. Step 4: Simplify right side
    363,748x = 735,222,217,401
  5. Step 5: Solve for x
    x = 735,222,217,401/363,748
  6. Step 6: Final answer
    x = 2,021,240.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.