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Finding the Third Proportional to 386,742 and 832,725

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Solution

The third proportional to 386,742 and 832,725 is: 1,793,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,742 : 832,725 = 832,725 : x
  2. Step 2: Convert to fraction form
    386,742/832,725 = 832,725/x
  3. Step 3: Cross multiply
    386,742x = 832,725 × 832,725
  4. Step 4: Simplify right side
    386,742x = 693,430,925,625
  5. Step 5: Solve for x
    x = 693,430,925,625/386,742
  6. Step 6: Final answer
    x = 1,793,006.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.