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Finding the Third Proportional to 379,712 and 808,504

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Solution

The third proportional to 379,712 and 808,504 is: 1,721,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,712 : 808,504 = 808,504 : x
  2. Step 2: Convert to fraction form
    379,712/808,504 = 808,504/x
  3. Step 3: Cross multiply
    379,712x = 808,504 × 808,504
  4. Step 4: Simplify right side
    379,712x = 653,678,718,016
  5. Step 5: Solve for x
    x = 653,678,718,016/379,712
  6. Step 6: Final answer
    x = 1,721,511.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.