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Finding the Third Proportional to 365,088 and 797,412

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Solution

The third proportional to 365,088 and 797,412 is: 1,741,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,088 : 797,412 = 797,412 : x
  2. Step 2: Convert to fraction form
    365,088/797,412 = 797,412/x
  3. Step 3: Cross multiply
    365,088x = 797,412 × 797,412
  4. Step 4: Simplify right side
    365,088x = 635,865,897,744
  5. Step 5: Solve for x
    x = 635,865,897,744/365,088
  6. Step 6: Final answer
    x = 1,741,678.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.