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Finding the Third Proportional to 370,591 and 808,950

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Solution

The third proportional to 370,591 and 808,950 is: 1,765,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,591 : 808,950 = 808,950 : x
  2. Step 2: Convert to fraction form
    370,591/808,950 = 808,950/x
  3. Step 3: Cross multiply
    370,591x = 808,950 × 808,950
  4. Step 4: Simplify right side
    370,591x = 654,400,102,500
  5. Step 5: Solve for x
    x = 654,400,102,500/370,591
  6. Step 6: Final answer
    x = 1,765,828.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.