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Finding the Third Proportional to 205,528.50 and 448,311.94

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Solution

The third proportional to 205,528.50 and 448,311.94 is: 977,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,528.50 : 448,311.94 = 448,311.94 : x
  2. Step 2: Convert to fraction form
    205,528.50/448,311.94 = 448,311.94/x
  3. Step 3: Cross multiply
    205,528.50x = 448,311.94 × 448,311.94
  4. Step 4: Simplify right side
    205,528.50x = 200,983,593,305.00
  5. Step 5: Solve for x
    x = 200,983,593,305.00/205,528.50
  6. Step 6: Final answer
    x = 977,886.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.