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Finding the Third Proportional to 377,244 and 824,448

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Solution

The third proportional to 377,244 and 824,448 is: 1,801,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,244 : 824,448 = 824,448 : x
  2. Step 2: Convert to fraction form
    377,244/824,448 = 824,448/x
  3. Step 3: Cross multiply
    377,244x = 824,448 × 824,448
  4. Step 4: Simplify right side
    377,244x = 679,714,504,704
  5. Step 5: Solve for x
    x = 679,714,504,704/377,244
  6. Step 6: Final answer
    x = 1,801,790.10

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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.