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Finding the Third Proportional to 384,526.50 and 828,217.50

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Solution

The third proportional to 384,526.50 and 828,217.50 is: 1,783,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,526.50 : 828,217.50 = 828,217.50 : x
  2. Step 2: Convert to fraction form
    384,526.50/828,217.50 = 828,217.50/x
  3. Step 3: Cross multiply
    384,526.50x = 828,217.50 × 828,217.50
  4. Step 4: Simplify right side
    384,526.50x = 685,944,227,306.25
  5. Step 5: Solve for x
    x = 685,944,227,306.25/384,526.50
  6. Step 6: Final answer
    x = 1,783,867.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.