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Finding the Third Proportional to 369,376 and 808,816

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Solution

The third proportional to 369,376 and 808,816 is: 1,771,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,376 : 808,816 = 808,816 : x
  2. Step 2: Convert to fraction form
    369,376/808,816 = 808,816/x
  3. Step 3: Cross multiply
    369,376x = 808,816 × 808,816
  4. Step 4: Simplify right side
    369,376x = 654,183,321,856
  5. Step 5: Solve for x
    x = 654,183,321,856/369,376
  6. Step 6: Final answer
    x = 1,771,049.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.