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Finding the Third Proportional to 553,099.50 and 1,206,315

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Solution

The third proportional to 553,099.50 and 1,206,315 is: 2,630,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,099.50 : 1,206,315 = 1,206,315 : x
  2. Step 2: Convert to fraction form
    553,099.50/1,206,315 = 1,206,315/x
  3. Step 3: Cross multiply
    553,099.50x = 1,206,315 × 1,206,315
  4. Step 4: Simplify right side
    553,099.50x = 1,455,195,879,225
  5. Step 5: Solve for x
    x = 1,455,195,879,225/553,099.50
  6. Step 6: Final answer
    x = 2,630,983.90

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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.