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Finding the Third Proportional to 447,752 and 694,308

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Solution

The third proportional to 447,752 and 694,308 is: 1,076,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,752 : 694,308 = 694,308 : x
  2. Step 2: Convert to fraction form
    447,752/694,308 = 694,308/x
  3. Step 3: Cross multiply
    447,752x = 694,308 × 694,308
  4. Step 4: Simplify right side
    447,752x = 482,063,598,864
  5. Step 5: Solve for x
    x = 482,063,598,864/447,752
  6. Step 6: Final answer
    x = 1,076,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.