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Finding the Third Proportional to 375,374.25 and 809,767.13

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Solution

The third proportional to 375,374.25 and 809,767.13 is: 1,746,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,374.25 : 809,767.13 = 809,767.13 : x
  2. Step 2: Convert to fraction form
    375,374.25/809,767.13 = 809,767.13/x
  3. Step 3: Cross multiply
    375,374.25x = 809,767.13 × 809,767.13
  4. Step 4: Simplify right side
    375,374.25x = 655,722,796,730.77
  5. Step 5: Solve for x
    x = 655,722,796,730.77/375,374.25
  6. Step 6: Final answer
    x = 1,746,850.77

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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.