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Finding the Third Proportional to 189,882 and 409,786

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Solution

The third proportional to 189,882 and 409,786 is: 884,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882 : 409,786 = 409,786 : x
  2. Step 2: Convert to fraction form
    189,882/409,786 = 409,786/x
  3. Step 3: Cross multiply
    189,882x = 409,786 × 409,786
  4. Step 4: Simplify right side
    189,882x = 167,924,565,796
  5. Step 5: Solve for x
    x = 167,924,565,796/189,882
  6. Step 6: Final answer
    x = 884,362.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.