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Finding the Third Proportional to 233,267 and 508,737

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Solution

The third proportional to 233,267 and 508,737 is: 1,109,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,267 : 508,737 = 508,737 : x
  2. Step 2: Convert to fraction form
    233,267/508,737 = 508,737/x
  3. Step 3: Cross multiply
    233,267x = 508,737 × 508,737
  4. Step 4: Simplify right side
    233,267x = 258,813,335,169
  5. Step 5: Solve for x
    x = 258,813,335,169/233,267
  6. Step 6: Final answer
    x = 1,109,515.43

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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.