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Finding the Third Proportional to 354,906 and 766,673

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Solution

The third proportional to 354,906 and 766,673 is: 1,656,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906 : 766,673 = 766,673 : x
  2. Step 2: Convert to fraction form
    354,906/766,673 = 766,673/x
  3. Step 3: Cross multiply
    354,906x = 766,673 × 766,673
  4. Step 4: Simplify right side
    354,906x = 587,787,488,929
  5. Step 5: Solve for x
    x = 587,787,488,929/354,906
  6. Step 6: Final answer
    x = 1,656,177.94

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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.