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Finding the Third Proportional to 377,937 and 585,162

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Solution

The third proportional to 377,937 and 585,162 is: 906,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,937 : 585,162 = 585,162 : x
  2. Step 2: Convert to fraction form
    377,937/585,162 = 585,162/x
  3. Step 3: Cross multiply
    377,937x = 585,162 × 585,162
  4. Step 4: Simplify right side
    377,937x = 342,414,566,244
  5. Step 5: Solve for x
    x = 342,414,566,244/377,937
  6. Step 6: Final answer
    x = 906,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.