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Finding the Third Proportional to 378,785 and 832,293

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Solution

The third proportional to 378,785 and 832,293 is: 1,828,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,785 : 832,293 = 832,293 : x
  2. Step 2: Convert to fraction form
    378,785/832,293 = 832,293/x
  3. Step 3: Cross multiply
    378,785x = 832,293 × 832,293
  4. Step 4: Simplify right side
    378,785x = 692,711,637,849
  5. Step 5: Solve for x
    x = 692,711,637,849/378,785
  6. Step 6: Final answer
    x = 1,828,772.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.