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Finding the Third Proportional to 354,684 and 778,272

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Solution

The third proportional to 354,684 and 778,272 is: 1,707,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,684 : 778,272 = 778,272 : x
  2. Step 2: Convert to fraction form
    354,684/778,272 = 778,272/x
  3. Step 3: Cross multiply
    354,684x = 778,272 × 778,272
  4. Step 4: Simplify right side
    354,684x = 605,707,305,984
  5. Step 5: Solve for x
    x = 605,707,305,984/354,684
  6. Step 6: Final answer
    x = 1,707,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.