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Finding the Third Proportional to 366,100 and 802,184

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Solution

The third proportional to 366,100 and 802,184 is: 1,757,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,100 : 802,184 = 802,184 : x
  2. Step 2: Convert to fraction form
    366,100/802,184 = 802,184/x
  3. Step 3: Cross multiply
    366,100x = 802,184 × 802,184
  4. Step 4: Simplify right side
    366,100x = 643,499,169,856
  5. Step 5: Solve for x
    x = 643,499,169,856/366,100
  6. Step 6: Final answer
    x = 1,757,714.20

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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.