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Finding the Third Proportional to 384,526.13 and 828,217.13

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Solution

The third proportional to 384,526.13 and 828,217.13 is: 1,783,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,526.13 : 828,217.13 = 828,217.13 : x
  2. Step 2: Convert to fraction form
    384,526.13/828,217.13 = 828,217.13/x
  3. Step 3: Cross multiply
    384,526.13x = 828,217.13 × 828,217.13
  4. Step 4: Simplify right side
    384,526.13x = 685,943,606,143.27
  5. Step 5: Solve for x
    x = 685,943,606,143.27/384,526.13
  6. Step 6: Final answer
    x = 1,783,867.37

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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.