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Finding the Third Proportional to 205,335 and 477,049.50

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Solution

The third proportional to 205,335 and 477,049.50 is: 1,108,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,335 : 477,049.50 = 477,049.50 : x
  2. Step 2: Convert to fraction form
    205,335/477,049.50 = 477,049.50/x
  3. Step 3: Cross multiply
    205,335x = 477,049.50 × 477,049.50
  4. Step 4: Simplify right side
    205,335x = 227,576,225,450.25
  5. Step 5: Solve for x
    x = 227,576,225,450.25/205,335
  6. Step 6: Final answer
    x = 1,108,316.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.