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Finding the Third Proportional to 331,528.50 and 723,784.50

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Solution

The third proportional to 331,528.50 and 723,784.50 is: 1,580,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,528.50 : 723,784.50 = 723,784.50 : x
  2. Step 2: Convert to fraction form
    331,528.50/723,784.50 = 723,784.50/x
  3. Step 3: Cross multiply
    331,528.50x = 723,784.50 × 723,784.50
  4. Step 4: Simplify right side
    331,528.50x = 523,864,002,440.25
  5. Step 5: Solve for x
    x = 523,864,002,440.25/331,528.50
  6. Step 6: Final answer
    x = 1,580,147.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.