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Finding the Third Proportional to 369,434 and 797,926

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Solution

The third proportional to 369,434 and 797,926 is: 1,723,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,434 : 797,926 = 797,926 : x
  2. Step 2: Convert to fraction form
    369,434/797,926 = 797,926/x
  3. Step 3: Cross multiply
    369,434x = 797,926 × 797,926
  4. Step 4: Simplify right side
    369,434x = 636,685,901,476
  5. Step 5: Solve for x
    x = 636,685,901,476/369,434
  6. Step 6: Final answer
    x = 1,723,409.06

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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.