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Finding the Third Proportional to 323,784 and 502,632

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Solution

The third proportional to 323,784 and 502,632 is: 780,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,784 : 502,632 = 502,632 : x
  2. Step 2: Convert to fraction form
    323,784/502,632 = 502,632/x
  3. Step 3: Cross multiply
    323,784x = 502,632 × 502,632
  4. Step 4: Simplify right side
    323,784x = 252,638,927,424
  5. Step 5: Solve for x
    x = 252,638,927,424/323,784
  6. Step 6: Final answer
    x = 780,269.96

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Why These Related Problems?

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