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Finding the Third Proportional to 232,261 and 508,788

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Solution

The third proportional to 232,261 and 508,788 is: 1,114,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,261 : 508,788 = 508,788 : x
  2. Step 2: Convert to fraction form
    232,261/508,788 = 508,788/x
  3. Step 3: Cross multiply
    232,261x = 508,788 × 508,788
  4. Step 4: Simplify right side
    232,261x = 258,865,228,944
  5. Step 5: Solve for x
    x = 258,865,228,944/232,261
  6. Step 6: Final answer
    x = 1,114,544.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.