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Finding the Third Proportional to 369,424 and 797,896

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Solution

The third proportional to 369,424 and 797,896 is: 1,723,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,424 : 797,896 = 797,896 : x
  2. Step 2: Convert to fraction form
    369,424/797,896 = 797,896/x
  3. Step 3: Cross multiply
    369,424x = 797,896 × 797,896
  4. Step 4: Simplify right side
    369,424x = 636,638,026,816
  5. Step 5: Solve for x
    x = 636,638,026,816/369,424
  6. Step 6: Final answer
    x = 1,723,326.12

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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.