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Finding the Third Proportional to 377,028 and 808,704

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Solution

The third proportional to 377,028 and 808,704 is: 1,734,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,028 : 808,704 = 808,704 : x
  2. Step 2: Convert to fraction form
    377,028/808,704 = 808,704/x
  3. Step 3: Cross multiply
    377,028x = 808,704 × 808,704
  4. Step 4: Simplify right side
    377,028x = 654,002,159,616
  5. Step 5: Solve for x
    x = 654,002,159,616/377,028
  6. Step 6: Final answer
    x = 1,734,624.91

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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.