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Finding the Third Proportional to 374,072 and 797,004

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Solution

The third proportional to 374,072 and 797,004 is: 1,698,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,072 : 797,004 = 797,004 : x
  2. Step 2: Convert to fraction form
    374,072/797,004 = 797,004/x
  3. Step 3: Cross multiply
    374,072x = 797,004 × 797,004
  4. Step 4: Simplify right side
    374,072x = 635,215,376,016
  5. Step 5: Solve for x
    x = 635,215,376,016/374,072
  6. Step 6: Final answer
    x = 1,698,109.93

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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.