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Finding the Third Proportional to 467,536 and 661,560

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Solution

The third proportional to 467,536 and 661,560 is: 936,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,536 : 661,560 = 661,560 : x
  2. Step 2: Convert to fraction form
    467,536/661,560 = 661,560/x
  3. Step 3: Cross multiply
    467,536x = 661,560 × 661,560
  4. Step 4: Simplify right side
    467,536x = 437,661,633,600
  5. Step 5: Solve for x
    x = 437,661,633,600/467,536
  6. Step 6: Final answer
    x = 936,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.