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Finding the Third Proportional to 232,776 and 502,722

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Solution

The third proportional to 232,776 and 502,722 is: 1,085,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,776 : 502,722 = 502,722 : x
  2. Step 2: Convert to fraction form
    232,776/502,722 = 502,722/x
  3. Step 3: Cross multiply
    232,776x = 502,722 × 502,722
  4. Step 4: Simplify right side
    232,776x = 252,729,409,284
  5. Step 5: Solve for x
    x = 252,729,409,284/232,776
  6. Step 6: Final answer
    x = 1,085,719.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.