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Finding the Third Proportional to 455,520 and 694,296

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Solution

The third proportional to 455,520 and 694,296 is: 1,058,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,520 : 694,296 = 694,296 : x
  2. Step 2: Convert to fraction form
    455,520/694,296 = 694,296/x
  3. Step 3: Cross multiply
    455,520x = 694,296 × 694,296
  4. Step 4: Simplify right side
    455,520x = 482,046,935,616
  5. Step 5: Solve for x
    x = 482,046,935,616/455,520
  6. Step 6: Final answer
    x = 1,058,234.40

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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.