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Finding the Third Proportional to 361,773 and 785,799

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Solution

The third proportional to 361,773 and 785,799 is: 1,706,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,773 : 785,799 = 785,799 : x
  2. Step 2: Convert to fraction form
    361,773/785,799 = 785,799/x
  3. Step 3: Cross multiply
    361,773x = 785,799 × 785,799
  4. Step 4: Simplify right side
    361,773x = 617,480,068,401
  5. Step 5: Solve for x
    x = 617,480,068,401/361,773
  6. Step 6: Final answer
    x = 1,706,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.