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Finding the Third Proportional to 370,219 and 769,535

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Solution

The third proportional to 370,219 and 769,535 is: 1,599,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,219 : 769,535 = 769,535 : x
  2. Step 2: Convert to fraction form
    370,219/769,535 = 769,535/x
  3. Step 3: Cross multiply
    370,219x = 769,535 × 769,535
  4. Step 4: Simplify right side
    370,219x = 592,184,116,225
  5. Step 5: Solve for x
    x = 592,184,116,225/370,219
  6. Step 6: Final answer
    x = 1,599,550.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.