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Finding the Third Proportional to 320,466 and 502,698

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Solution

The third proportional to 320,466 and 502,698 is: 788,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,466 : 502,698 = 502,698 : x
  2. Step 2: Convert to fraction form
    320,466/502,698 = 502,698/x
  3. Step 3: Cross multiply
    320,466x = 502,698 × 502,698
  4. Step 4: Simplify right side
    320,466x = 252,705,279,204
  5. Step 5: Solve for x
    x = 252,705,279,204/320,466
  6. Step 6: Final answer
    x = 788,555.66

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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.