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Finding the Third Proportional to 191,482 and 409,028

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Solution

The third proportional to 191,482 and 409,028 is: 873,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,482 : 409,028 = 409,028 : x
  2. Step 2: Convert to fraction form
    191,482/409,028 = 409,028/x
  3. Step 3: Cross multiply
    191,482x = 409,028 × 409,028
  4. Step 4: Simplify right side
    191,482x = 167,303,904,784
  5. Step 5: Solve for x
    x = 167,303,904,784/191,482
  6. Step 6: Final answer
    x = 873,731.76

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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.