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Finding the Third Proportional to 455,522 and 694,299

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Solution

The third proportional to 455,522 and 694,299 is: 1,058,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,522 : 694,299 = 694,299 : x
  2. Step 2: Convert to fraction form
    455,522/694,299 = 694,299/x
  3. Step 3: Cross multiply
    455,522x = 694,299 × 694,299
  4. Step 4: Simplify right side
    455,522x = 482,051,101,401
  5. Step 5: Solve for x
    x = 482,051,101,401/455,522
  6. Step 6: Final answer
    x = 1,058,238.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.