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Finding the Third Proportional to 225,706.50 and 485,433

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Solution

The third proportional to 225,706.50 and 485,433 is: 1,044,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.50 : 485,433 = 485,433 : x
  2. Step 2: Convert to fraction form
    225,706.50/485,433 = 485,433/x
  3. Step 3: Cross multiply
    225,706.50x = 485,433 × 485,433
  4. Step 4: Simplify right side
    225,706.50x = 235,645,197,489
  5. Step 5: Solve for x
    x = 235,645,197,489/225,706.50
  6. Step 6: Final answer
    x = 1,044,033.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.