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Finding the Third Proportional to 232,273 and 508,834

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Solution

The third proportional to 232,273 and 508,834 is: 1,114,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,273 : 508,834 = 508,834 : x
  2. Step 2: Convert to fraction form
    232,273/508,834 = 508,834/x
  3. Step 3: Cross multiply
    232,273x = 508,834 × 508,834
  4. Step 4: Simplify right side
    232,273x = 258,912,039,556
  5. Step 5: Solve for x
    x = 258,912,039,556/232,273
  6. Step 6: Final answer
    x = 1,114,688.49

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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.