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Finding the Third Proportional to 323,246 and 434,823

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Solution

The third proportional to 323,246 and 434,823 is: 584,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,246 : 434,823 = 434,823 : x
  2. Step 2: Convert to fraction form
    323,246/434,823 = 434,823/x
  3. Step 3: Cross multiply
    323,246x = 434,823 × 434,823
  4. Step 4: Simplify right side
    323,246x = 189,071,041,329
  5. Step 5: Solve for x
    x = 189,071,041,329/323,246
  6. Step 6: Final answer
    x = 584,913.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.