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Finding the Third Proportional to 369,294 and 800,796

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Solution

The third proportional to 369,294 and 800,796 is: 1,736,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,294 : 800,796 = 800,796 : x
  2. Step 2: Convert to fraction form
    369,294/800,796 = 800,796/x
  3. Step 3: Cross multiply
    369,294x = 800,796 × 800,796
  4. Step 4: Simplify right side
    369,294x = 641,274,233,616
  5. Step 5: Solve for x
    x = 641,274,233,616/369,294
  6. Step 6: Final answer
    x = 1,736,487.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.