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Finding the Third Proportional to 294,600 and 632,799

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Solution

The third proportional to 294,600 and 632,799 is: 1,359,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,600 : 632,799 = 632,799 : x
  2. Step 2: Convert to fraction form
    294,600/632,799 = 632,799/x
  3. Step 3: Cross multiply
    294,600x = 632,799 × 632,799
  4. Step 4: Simplify right side
    294,600x = 400,434,574,401
  5. Step 5: Solve for x
    x = 400,434,574,401/294,600
  6. Step 6: Final answer
    x = 1,359,248.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.