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Finding the Third Proportional to 474,295.50 and 1,024,299

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Solution

The third proportional to 474,295.50 and 1,024,299 is: 2,212,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,295.50 : 1,024,299 = 1,024,299 : x
  2. Step 2: Convert to fraction form
    474,295.50/1,024,299 = 1,024,299/x
  3. Step 3: Cross multiply
    474,295.50x = 1,024,299 × 1,024,299
  4. Step 4: Simplify right side
    474,295.50x = 1,049,188,441,401
  5. Step 5: Solve for x
    x = 1,049,188,441,401/474,295.50
  6. Step 6: Final answer
    x = 2,212,098.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.