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Finding the Third Proportional to 323,645 and 704,098

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Solution

The third proportional to 323,645 and 704,098 is: 1,531,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,645 : 704,098 = 704,098 : x
  2. Step 2: Convert to fraction form
    323,645/704,098 = 704,098/x
  3. Step 3: Cross multiply
    323,645x = 704,098 × 704,098
  4. Step 4: Simplify right side
    323,645x = 495,753,993,604
  5. Step 5: Solve for x
    x = 495,753,993,604/323,645
  6. Step 6: Final answer
    x = 1,531,783.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.