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Finding the Third Proportional to 371,199.38 and 809,041.50

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Solution

The third proportional to 371,199.38 and 809,041.50 is: 1,763,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,199.38 : 809,041.50 = 809,041.50 : x
  2. Step 2: Convert to fraction form
    371,199.38/809,041.50 = 809,041.50/x
  3. Step 3: Cross multiply
    371,199.38x = 809,041.50 × 809,041.50
  4. Step 4: Simplify right side
    371,199.38x = 654,548,148,722.25
  5. Step 5: Solve for x
    x = 654,548,148,722.25/371,199.38
  6. Step 6: Final answer
    x = 1,763,333.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.