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Finding the Third Proportional to 428,626 and 646,827

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Solution

The third proportional to 428,626 and 646,827 is: 976,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,626 : 646,827 = 646,827 : x
  2. Step 2: Convert to fraction form
    428,626/646,827 = 646,827/x
  3. Step 3: Cross multiply
    428,626x = 646,827 × 646,827
  4. Step 4: Simplify right side
    428,626x = 418,385,167,929
  5. Step 5: Solve for x
    x = 418,385,167,929/428,626
  6. Step 6: Final answer
    x = 976,107.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.