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Finding the Third Proportional to 317,525 and 437,407

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Solution

The third proportional to 317,525 and 437,407 is: 602,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,525 : 437,407 = 437,407 : x
  2. Step 2: Convert to fraction form
    317,525/437,407 = 437,407/x
  3. Step 3: Cross multiply
    317,525x = 437,407 × 437,407
  4. Step 4: Simplify right side
    317,525x = 191,324,883,649
  5. Step 5: Solve for x
    x = 191,324,883,649/317,525
  6. Step 6: Final answer
    x = 602,550.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.