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Finding the Third Proportional to 379,714 and 808,508

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Solution

The third proportional to 379,714 and 808,508 is: 1,721,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,714 : 808,508 = 808,508 : x
  2. Step 2: Convert to fraction form
    379,714/808,508 = 808,508/x
  3. Step 3: Cross multiply
    379,714x = 808,508 × 808,508
  4. Step 4: Simplify right side
    379,714x = 653,685,186,064
  5. Step 5: Solve for x
    x = 653,685,186,064/379,714
  6. Step 6: Final answer
    x = 1,721,519.84

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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.