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Finding the Third Proportional to 377,290 and 808,568

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Solution

The third proportional to 377,290 and 808,568 is: 1,732,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,290 : 808,568 = 808,568 : x
  2. Step 2: Convert to fraction form
    377,290/808,568 = 808,568/x
  3. Step 3: Cross multiply
    377,290x = 808,568 × 808,568
  4. Step 4: Simplify right side
    377,290x = 653,782,210,624
  5. Step 5: Solve for x
    x = 653,782,210,624/377,290
  6. Step 6: Final answer
    x = 1,732,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.