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Finding the Third Proportional to 324,461.75 and 503,697.75

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Solution

The third proportional to 324,461.75 and 503,697.75 is: 781,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,461.75 : 503,697.75 = 503,697.75 : x
  2. Step 2: Convert to fraction form
    324,461.75/503,697.75 = 503,697.75/x
  3. Step 3: Cross multiply
    324,461.75x = 503,697.75 × 503,697.75
  4. Step 4: Simplify right side
    324,461.75x = 253,711,423,355.06
  5. Step 5: Solve for x
    x = 253,711,423,355.06/324,461.75
  6. Step 6: Final answer
    x = 781,945.56

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