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Finding the Third Proportional to 354,906 and 766,674

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Solution

The third proportional to 354,906 and 766,674 is: 1,656,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906 : 766,674 = 766,674 : x
  2. Step 2: Convert to fraction form
    354,906/766,674 = 766,674/x
  3. Step 3: Cross multiply
    354,906x = 766,674 × 766,674
  4. Step 4: Simplify right side
    354,906x = 587,789,022,276
  5. Step 5: Solve for x
    x = 587,789,022,276/354,906
  6. Step 6: Final answer
    x = 1,656,182.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.