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Finding the Third Proportional to 614,209.50 and 1,329,027

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Solution

The third proportional to 614,209.50 and 1,329,027 is: 2,875,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,209.50 : 1,329,027 = 1,329,027 : x
  2. Step 2: Convert to fraction form
    614,209.50/1,329,027 = 1,329,027/x
  3. Step 3: Cross multiply
    614,209.50x = 1,329,027 × 1,329,027
  4. Step 4: Simplify right side
    614,209.50x = 1,766,312,766,729
  5. Step 5: Solve for x
    x = 1,766,312,766,729/614,209.50
  6. Step 6: Final answer
    x = 2,875,749.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.