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Finding the Third Proportional to 232,622 and 503,888

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Solution

The third proportional to 232,622 and 503,888 is: 1,091,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,622 : 503,888 = 503,888 : x
  2. Step 2: Convert to fraction form
    232,622/503,888 = 503,888/x
  3. Step 3: Cross multiply
    232,622x = 503,888 × 503,888
  4. Step 4: Simplify right side
    232,622x = 253,903,116,544
  5. Step 5: Solve for x
    x = 253,903,116,544/232,622
  6. Step 6: Final answer
    x = 1,091,483.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.