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Finding the Third Proportional to 232,813 and 508,272

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Solution

The third proportional to 232,813 and 508,272 is: 1,109,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,813 : 508,272 = 508,272 : x
  2. Step 2: Convert to fraction form
    232,813/508,272 = 508,272/x
  3. Step 3: Cross multiply
    232,813x = 508,272 × 508,272
  4. Step 4: Simplify right side
    232,813x = 258,340,425,984
  5. Step 5: Solve for x
    x = 258,340,425,984/232,813
  6. Step 6: Final answer
    x = 1,109,647.77

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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.