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Finding the Third Proportional to 377,816.91 and 798,276.94

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Solution

The third proportional to 377,816.91 and 798,276.94 is: 1,686,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,816.91 : 798,276.94 = 798,276.94 : x
  2. Step 2: Convert to fraction form
    377,816.91/798,276.94 = 798,276.94/x
  3. Step 3: Cross multiply
    377,816.91x = 798,276.94 × 798,276.94
  4. Step 4: Simplify right side
    377,816.91x = 637,246,068,944.38
  5. Step 5: Solve for x
    x = 637,246,068,944.38/377,816.91
  6. Step 6: Final answer
    x = 1,686,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.