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Finding the Third Proportional to 232,812 and 508,270

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Solution

The third proportional to 232,812 and 508,270 is: 1,109,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,812 : 508,270 = 508,270 : x
  2. Step 2: Convert to fraction form
    232,812/508,270 = 508,270/x
  3. Step 3: Cross multiply
    232,812x = 508,270 × 508,270
  4. Step 4: Simplify right side
    232,812x = 258,338,392,900
  5. Step 5: Solve for x
    x = 258,338,392,900/232,812
  6. Step 6: Final answer
    x = 1,109,643.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.