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Finding the Third Proportional to 369,072 and 797,328

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Solution

The third proportional to 369,072 and 797,328 is: 1,722,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,072 : 797,328 = 797,328 : x
  2. Step 2: Convert to fraction form
    369,072/797,328 = 797,328/x
  3. Step 3: Cross multiply
    369,072x = 797,328 × 797,328
  4. Step 4: Simplify right side
    369,072x = 635,731,939,584
  5. Step 5: Solve for x
    x = 635,731,939,584/369,072
  6. Step 6: Final answer
    x = 1,722,514.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.