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Finding the Third Proportional to 569,383 and 836,940

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Solution

The third proportional to 569,383 and 836,940 is: 1,230,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,383 : 836,940 = 836,940 : x
  2. Step 2: Convert to fraction form
    569,383/836,940 = 836,940/x
  3. Step 3: Cross multiply
    569,383x = 836,940 × 836,940
  4. Step 4: Simplify right side
    569,383x = 700,468,563,600
  5. Step 5: Solve for x
    x = 700,468,563,600/569,383
  6. Step 6: Final answer
    x = 1,230,223.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.