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Finding the Third Proportional to 189,484 and 414,608

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Solution

The third proportional to 189,484 and 414,608 is: 907,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484 : 414,608 = 414,608 : x
  2. Step 2: Convert to fraction form
    189,484/414,608 = 414,608/x
  3. Step 3: Cross multiply
    189,484x = 414,608 × 414,608
  4. Step 4: Simplify right side
    189,484x = 171,899,793,664
  5. Step 5: Solve for x
    x = 171,899,793,664/189,484
  6. Step 6: Final answer
    x = 907,199.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.