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Finding the Third Proportional to 384,445 and 898,235

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Solution

The third proportional to 384,445 and 898,235 is: 2,098,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,445 : 898,235 = 898,235 : x
  2. Step 2: Convert to fraction form
    384,445/898,235 = 898,235/x
  3. Step 3: Cross multiply
    384,445x = 898,235 × 898,235
  4. Step 4: Simplify right side
    384,445x = 806,826,115,225
  5. Step 5: Solve for x
    x = 806,826,115,225/384,445
  6. Step 6: Final answer
    x = 2,098,677.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.