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Finding the Third Proportional to 323,588.25 and 506,508

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Solution

The third proportional to 323,588.25 and 506,508 is: 792,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,588.25 : 506,508 = 506,508 : x
  2. Step 2: Convert to fraction form
    323,588.25/506,508 = 506,508/x
  3. Step 3: Cross multiply
    323,588.25x = 506,508 × 506,508
  4. Step 4: Simplify right side
    323,588.25x = 256,550,354,064
  5. Step 5: Solve for x
    x = 256,550,354,064/323,588.25
  6. Step 6: Final answer
    x = 792,829.63

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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.