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Finding the Third Proportional to 233,264 and 508,731

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Solution

The third proportional to 233,264 and 508,731 is: 1,109,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,264 : 508,731 = 508,731 : x
  2. Step 2: Convert to fraction form
    233,264/508,731 = 508,731/x
  3. Step 3: Cross multiply
    233,264x = 508,731 × 508,731
  4. Step 4: Simplify right side
    233,264x = 258,807,230,361
  5. Step 5: Solve for x
    x = 258,807,230,361/233,264
  6. Step 6: Final answer
    x = 1,109,503.53

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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.