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Finding the Third Proportional to 213,576 and 469,785.50

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Solution

The third proportional to 213,576 and 469,785.50 is: 1,033,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,576 : 469,785.50 = 469,785.50 : x
  2. Step 2: Convert to fraction form
    213,576/469,785.50 = 469,785.50/x
  3. Step 3: Cross multiply
    213,576x = 469,785.50 × 469,785.50
  4. Step 4: Simplify right side
    213,576x = 220,698,416,010.25
  5. Step 5: Solve for x
    x = 220,698,416,010.25/213,576
  6. Step 6: Final answer
    x = 1,033,348.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.