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Finding the Third Proportional to 323,796 and 502,650

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Solution

The third proportional to 323,796 and 502,650 is: 780,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,796 : 502,650 = 502,650 : x
  2. Step 2: Convert to fraction form
    323,796/502,650 = 502,650/x
  3. Step 3: Cross multiply
    323,796x = 502,650 × 502,650
  4. Step 4: Simplify right side
    323,796x = 252,657,022,500
  5. Step 5: Solve for x
    x = 252,657,022,500/323,796
  6. Step 6: Final answer
    x = 780,296.92

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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.