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Finding the Third Proportional to 247,357.50 and 503,353.50

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Solution

The third proportional to 247,357.50 and 503,353.50 is: 1,024,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,357.50 : 503,353.50 = 503,353.50 : x
  2. Step 2: Convert to fraction form
    247,357.50/503,353.50 = 503,353.50/x
  3. Step 3: Cross multiply
    247,357.50x = 503,353.50 × 503,353.50
  4. Step 4: Simplify right side
    247,357.50x = 253,364,745,962.25
  5. Step 5: Solve for x
    x = 253,364,745,962.25/247,357.50
  6. Step 6: Final answer
    x = 1,024,285.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.