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Finding the Third Proportional to 384,510.38 and 828,186

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Solution

The third proportional to 384,510.38 and 828,186 is: 1,783,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,510.38 : 828,186 = 828,186 : x
  2. Step 2: Convert to fraction form
    384,510.38/828,186 = 828,186/x
  3. Step 3: Cross multiply
    384,510.38x = 828,186 × 828,186
  4. Step 4: Simplify right side
    384,510.38x = 685,892,050,596
  5. Step 5: Solve for x
    x = 685,892,050,596/384,510.38
  6. Step 6: Final answer
    x = 1,783,806.36

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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.