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Finding the Third Proportional to 369,768 and 797,208

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Solution

The third proportional to 369,768 and 797,208 is: 1,718,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,768 : 797,208 = 797,208 : x
  2. Step 2: Convert to fraction form
    369,768/797,208 = 797,208/x
  3. Step 3: Cross multiply
    369,768x = 797,208 × 797,208
  4. Step 4: Simplify right side
    369,768x = 635,540,595,264
  5. Step 5: Solve for x
    x = 635,540,595,264/369,768
  6. Step 6: Final answer
    x = 1,718,754.99

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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.