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Finding the Third Proportional to 323,612 and 506,546

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Solution

The third proportional to 323,612 and 506,546 is: 792,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,612 : 506,546 = 506,546 : x
  2. Step 2: Convert to fraction form
    323,612/506,546 = 506,546/x
  3. Step 3: Cross multiply
    323,612x = 506,546 × 506,546
  4. Step 4: Simplify right side
    323,612x = 256,588,850,116
  5. Step 5: Solve for x
    x = 256,588,850,116/323,612
  6. Step 6: Final answer
    x = 792,890.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.