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Finding the Third Proportional to 218,031.75 and 469,453.50

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Solution

The third proportional to 218,031.75 and 469,453.50 is: 1,010,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,031.75 : 469,453.50 = 469,453.50 : x
  2. Step 2: Convert to fraction form
    218,031.75/469,453.50 = 469,453.50/x
  3. Step 3: Cross multiply
    218,031.75x = 469,453.50 × 469,453.50
  4. Step 4: Simplify right side
    218,031.75x = 220,386,588,662.25
  5. Step 5: Solve for x
    x = 220,386,588,662.25/218,031.75
  6. Step 6: Final answer
    x = 1,010,800.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.