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Finding the Third Proportional to 369,460 and 797,864

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Solution

The third proportional to 369,460 and 797,864 is: 1,723,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,460 : 797,864 = 797,864 : x
  2. Step 2: Convert to fraction form
    369,460/797,864 = 797,864/x
  3. Step 3: Cross multiply
    369,460x = 797,864 × 797,864
  4. Step 4: Simplify right side
    369,460x = 636,586,962,496
  5. Step 5: Solve for x
    x = 636,586,962,496/369,460
  6. Step 6: Final answer
    x = 1,723,019.98

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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.