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Finding the Third Proportional to 211,783.50 and 454,275

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Solution

The third proportional to 211,783.50 and 454,275 is: 974,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,783.50 : 454,275 = 454,275 : x
  2. Step 2: Convert to fraction form
    211,783.50/454,275 = 454,275/x
  3. Step 3: Cross multiply
    211,783.50x = 454,275 × 454,275
  4. Step 4: Simplify right side
    211,783.50x = 206,365,775,625
  5. Step 5: Solve for x
    x = 206,365,775,625/211,783.50
  6. Step 6: Final answer
    x = 974,418.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.