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Finding the Third Proportional to 467,520 and 661,536

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Solution

The third proportional to 467,520 and 661,536 is: 936,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,520 : 661,536 = 661,536 : x
  2. Step 2: Convert to fraction form
    467,520/661,536 = 661,536/x
  3. Step 3: Cross multiply
    467,520x = 661,536 × 661,536
  4. Step 4: Simplify right side
    467,520x = 437,629,879,296
  5. Step 5: Solve for x
    x = 437,629,879,296/467,520
  6. Step 6: Final answer
    x = 936,066.65

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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.