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Finding the Third Proportional to 421,110 and 647,931

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Solution

The third proportional to 421,110 and 647,931 is: 996,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,110 : 647,931 = 647,931 : x
  2. Step 2: Convert to fraction form
    421,110/647,931 = 647,931/x
  3. Step 3: Cross multiply
    421,110x = 647,931 × 647,931
  4. Step 4: Simplify right side
    421,110x = 419,814,580,761
  5. Step 5: Solve for x
    x = 419,814,580,761/421,110
  6. Step 6: Final answer
    x = 996,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.