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Finding the Third Proportional to 316,626 and 646,170

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Solution

The third proportional to 316,626 and 646,170 is: 1,318,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,626 : 646,170 = 646,170 : x
  2. Step 2: Convert to fraction form
    316,626/646,170 = 646,170/x
  3. Step 3: Cross multiply
    316,626x = 646,170 × 646,170
  4. Step 4: Simplify right side
    316,626x = 417,535,668,900
  5. Step 5: Solve for x
    x = 417,535,668,900/316,626
  6. Step 6: Final answer
    x = 1,318,703.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.