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Finding the Third Proportional to 201,760.50 and 455,499

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Solution

The third proportional to 201,760.50 and 455,499 is: 1,028,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.50 : 455,499 = 455,499 : x
  2. Step 2: Convert to fraction form
    201,760.50/455,499 = 455,499/x
  3. Step 3: Cross multiply
    201,760.50x = 455,499 × 455,499
  4. Step 4: Simplify right side
    201,760.50x = 207,479,339,001
  5. Step 5: Solve for x
    x = 207,479,339,001/201,760.50
  6. Step 6: Final answer
    x = 1,028,344.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.