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Finding the Third Proportional to 498,163.50 and 1,031,774.63

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Solution

The third proportional to 498,163.50 and 1,031,774.63 is: 2,136,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,163.50 : 1,031,774.63 = 1,031,774.63 : x
  2. Step 2: Convert to fraction form
    498,163.50/1,031,774.63 = 1,031,774.63/x
  3. Step 3: Cross multiply
    498,163.50x = 1,031,774.63 × 1,031,774.63
  4. Step 4: Simplify right side
    498,163.50x = 1,064,558,876,793.89
  5. Step 5: Solve for x
    x = 1,064,558,876,793.89/498,163.50
  6. Step 6: Final answer
    x = 2,136,966.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.