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Finding the Third Proportional to 323,602 and 506,525

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Solution

The third proportional to 323,602 and 506,525 is: 792,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,602 : 506,525 = 506,525 : x
  2. Step 2: Convert to fraction form
    323,602/506,525 = 506,525/x
  3. Step 3: Cross multiply
    323,602x = 506,525 × 506,525
  4. Step 4: Simplify right side
    323,602x = 256,567,575,625
  5. Step 5: Solve for x
    x = 256,567,575,625/323,602
  6. Step 6: Final answer
    x = 792,849.17

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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.