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Finding the Third Proportional to 239,823 and 512,877

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Solution

The third proportional to 239,823 and 512,877 is: 1,096,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,823 : 512,877 = 512,877 : x
  2. Step 2: Convert to fraction form
    239,823/512,877 = 512,877/x
  3. Step 3: Cross multiply
    239,823x = 512,877 × 512,877
  4. Step 4: Simplify right side
    239,823x = 263,042,817,129
  5. Step 5: Solve for x
    x = 263,042,817,129/239,823
  6. Step 6: Final answer
    x = 1,096,820.64

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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.