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Finding the Third Proportional to 325,624.50 and 503,197.88

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Solution

The third proportional to 325,624.50 and 503,197.88 is: 777,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,624.50 : 503,197.88 = 503,197.88 : x
  2. Step 2: Convert to fraction form
    325,624.50/503,197.88 = 503,197.88/x
  3. Step 3: Cross multiply
    325,624.50x = 503,197.88 × 503,197.88
  4. Step 4: Simplify right side
    325,624.50x = 253,208,101,404.52
  5. Step 5: Solve for x
    x = 253,208,101,404.52/325,624.50
  6. Step 6: Final answer
    x = 777,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.