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Finding the Third Proportional to 323,642 and 502,504

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Solution

The third proportional to 323,642 and 502,504 is: 780,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,642 : 502,504 = 502,504 : x
  2. Step 2: Convert to fraction form
    323,642/502,504 = 502,504/x
  3. Step 3: Cross multiply
    323,642x = 502,504 × 502,504
  4. Step 4: Simplify right side
    323,642x = 252,510,270,016
  5. Step 5: Solve for x
    x = 252,510,270,016/323,642
  6. Step 6: Final answer
    x = 780,214.77

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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.