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Finding the Third Proportional to 213,411.50 and 446,425.50

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Solution

The third proportional to 213,411.50 and 446,425.50 is: 933,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,411.50 : 446,425.50 = 446,425.50 : x
  2. Step 2: Convert to fraction form
    213,411.50/446,425.50 = 446,425.50/x
  3. Step 3: Cross multiply
    213,411.50x = 446,425.50 × 446,425.50
  4. Step 4: Simplify right side
    213,411.50x = 199,295,727,050.25
  5. Step 5: Solve for x
    x = 199,295,727,050.25/213,411.50
  6. Step 6: Final answer
    x = 933,856.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.