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Finding the Third Proportional to 374,477.50 and 801,442.75

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Solution

The third proportional to 374,477.50 and 801,442.75 is: 1,715,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,477.50 : 801,442.75 = 801,442.75 : x
  2. Step 2: Convert to fraction form
    374,477.50/801,442.75 = 801,442.75/x
  3. Step 3: Cross multiply
    374,477.50x = 801,442.75 × 801,442.75
  4. Step 4: Simplify right side
    374,477.50x = 642,310,481,527.56
  5. Step 5: Solve for x
    x = 642,310,481,527.56/374,477.50
  6. Step 6: Final answer
    x = 1,715,217.82

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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.