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Finding the Third Proportional to 323,631 and 502,486.50

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Solution

The third proportional to 323,631 and 502,486.50 is: 780,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,631 : 502,486.50 = 502,486.50 : x
  2. Step 2: Convert to fraction form
    323,631/502,486.50 = 502,486.50/x
  3. Step 3: Cross multiply
    323,631x = 502,486.50 × 502,486.50
  4. Step 4: Simplify right side
    323,631x = 252,492,682,682.25
  5. Step 5: Solve for x
    x = 252,492,682,682.25/323,631
  6. Step 6: Final answer
    x = 780,186.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.