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Finding the Third Proportional to 374,060 and 796,982

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Solution

The third proportional to 374,060 and 796,982 is: 1,698,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,060 : 796,982 = 796,982 : x
  2. Step 2: Convert to fraction form
    374,060/796,982 = 796,982/x
  3. Step 3: Cross multiply
    374,060x = 796,982 × 796,982
  4. Step 4: Simplify right side
    374,060x = 635,180,308,324
  5. Step 5: Solve for x
    x = 635,180,308,324/374,060
  6. Step 6: Final answer
    x = 1,698,070.65

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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.