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Finding the Third Proportional to 401,884.75 and 859,041.50

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Solution

The third proportional to 401,884.75 and 859,041.50 is: 1,836,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,884.75 : 859,041.50 = 859,041.50 : x
  2. Step 2: Convert to fraction form
    401,884.75/859,041.50 = 859,041.50/x
  3. Step 3: Cross multiply
    401,884.75x = 859,041.50 × 859,041.50
  4. Step 4: Simplify right side
    401,884.75x = 737,952,298,722.25
  5. Step 5: Solve for x
    x = 737,952,298,722.25/401,884.75
  6. Step 6: Final answer
    x = 1,836,228.67

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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.