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Finding the Third Proportional to 213,088.50 and 452,454.75

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Solution

The third proportional to 213,088.50 and 452,454.75 is: 960,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088.50 : 452,454.75 = 452,454.75 : x
  2. Step 2: Convert to fraction form
    213,088.50/452,454.75 = 452,454.75/x
  3. Step 3: Cross multiply
    213,088.50x = 452,454.75 × 452,454.75
  4. Step 4: Simplify right side
    213,088.50x = 204,715,300,797.56
  5. Step 5: Solve for x
    x = 204,715,300,797.56/213,088.50
  6. Step 6: Final answer
    x = 960,705.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.