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Finding the Third Proportional to 292,834 and 593,817

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Solution

The third proportional to 292,834 and 593,817 is: 1,204,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,834 : 593,817 = 593,817 : x
  2. Step 2: Convert to fraction form
    292,834/593,817 = 593,817/x
  3. Step 3: Cross multiply
    292,834x = 593,817 × 593,817
  4. Step 4: Simplify right side
    292,834x = 352,618,629,489
  5. Step 5: Solve for x
    x = 352,618,629,489/292,834
  6. Step 6: Final answer
    x = 1,204,158.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.