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Finding the Third Proportional to 724,256 and 946,308

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Solution

The third proportional to 724,256 and 946,308 is: 1,236,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,256 : 946,308 = 946,308 : x
  2. Step 2: Convert to fraction form
    724,256/946,308 = 946,308/x
  3. Step 3: Cross multiply
    724,256x = 946,308 × 946,308
  4. Step 4: Simplify right side
    724,256x = 895,498,830,864
  5. Step 5: Solve for x
    x = 895,498,830,864/724,256
  6. Step 6: Final answer
    x = 1,236,439.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.