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Finding the Third Proportional to 233,353 and 508,941

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Solution

The third proportional to 233,353 and 508,941 is: 1,109,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,353 : 508,941 = 508,941 : x
  2. Step 2: Convert to fraction form
    233,353/508,941 = 508,941/x
  3. Step 3: Cross multiply
    233,353x = 508,941 × 508,941
  4. Step 4: Simplify right side
    233,353x = 259,020,941,481
  5. Step 5: Solve for x
    x = 259,020,941,481/233,353
  6. Step 6: Final answer
    x = 1,109,996.19

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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.