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Finding the Third Proportional to 189,849 and 417,594

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Solution

The third proportional to 189,849 and 417,594 is: 918,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849 : 417,594 = 417,594 : x
  2. Step 2: Convert to fraction form
    189,849/417,594 = 417,594/x
  3. Step 3: Cross multiply
    189,849x = 417,594 × 417,594
  4. Step 4: Simplify right side
    189,849x = 174,384,748,836
  5. Step 5: Solve for x
    x = 174,384,748,836/189,849
  6. Step 6: Final answer
    x = 918,544.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.