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Finding the Third Proportional to 233,272 and 508,747

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Solution

The third proportional to 233,272 and 508,747 is: 1,109,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,272 : 508,747 = 508,747 : x
  2. Step 2: Convert to fraction form
    233,272/508,747 = 508,747/x
  3. Step 3: Cross multiply
    233,272x = 508,747 × 508,747
  4. Step 4: Simplify right side
    233,272x = 258,823,510,009
  5. Step 5: Solve for x
    x = 258,823,510,009/233,272
  6. Step 6: Final answer
    x = 1,109,535.26

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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.