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Finding the Third Proportional to 374,494.50 and 801,477

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Solution

The third proportional to 374,494.50 and 801,477 is: 1,715,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,494.50 : 801,477 = 801,477 : x
  2. Step 2: Convert to fraction form
    374,494.50/801,477 = 801,477/x
  3. Step 3: Cross multiply
    374,494.50x = 801,477 × 801,477
  4. Step 4: Simplify right side
    374,494.50x = 642,365,381,529
  5. Step 5: Solve for x
    x = 642,365,381,529/374,494.50
  6. Step 6: Final answer
    x = 1,715,286.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.