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Finding the Third Proportional to 369,468 and 798,012

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Solution

The third proportional to 369,468 and 798,012 is: 1,723,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,468 : 798,012 = 798,012 : x
  2. Step 2: Convert to fraction form
    369,468/798,012 = 798,012/x
  3. Step 3: Cross multiply
    369,468x = 798,012 × 798,012
  4. Step 4: Simplify right side
    369,468x = 636,823,152,144
  5. Step 5: Solve for x
    x = 636,823,152,144/369,468
  6. Step 6: Final answer
    x = 1,723,621.94

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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.