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Finding the Third Proportional to 323,248 and 434,826

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Solution

The third proportional to 323,248 and 434,826 is: 584,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,248 : 434,826 = 434,826 : x
  2. Step 2: Convert to fraction form
    323,248/434,826 = 434,826/x
  3. Step 3: Cross multiply
    323,248x = 434,826 × 434,826
  4. Step 4: Simplify right side
    323,248x = 189,073,650,276
  5. Step 5: Solve for x
    x = 189,073,650,276/323,248
  6. Step 6: Final answer
    x = 584,918.24

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