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Finding the Third Proportional to 432,281 and 694,551

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Solution

The third proportional to 432,281 and 694,551 is: 1,115,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,281 : 694,551 = 694,551 : x
  2. Step 2: Convert to fraction form
    432,281/694,551 = 694,551/x
  3. Step 3: Cross multiply
    432,281x = 694,551 × 694,551
  4. Step 4: Simplify right side
    432,281x = 482,401,091,601
  5. Step 5: Solve for x
    x = 482,401,091,601/432,281
  6. Step 6: Final answer
    x = 1,115,943.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.