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Finding the Third Proportional to 349,098.25 and 533,800.50

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Solution

The third proportional to 349,098.25 and 533,800.50 is: 816,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,098.25 : 533,800.50 = 533,800.50 : x
  2. Step 2: Convert to fraction form
    349,098.25/533,800.50 = 533,800.50/x
  3. Step 3: Cross multiply
    349,098.25x = 533,800.50 × 533,800.50
  4. Step 4: Simplify right side
    349,098.25x = 284,942,973,800.25
  5. Step 5: Solve for x
    x = 284,942,973,800.25/349,098.25
  6. Step 6: Final answer
    x = 816,225.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.