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Finding the Third Proportional to 233,352 and 508,940

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Solution

The third proportional to 233,352 and 508,940 is: 1,109,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 508,940 = 508,940 : x
  2. Step 2: Convert to fraction form
    233,352/508,940 = 508,940/x
  3. Step 3: Cross multiply
    233,352x = 508,940 × 508,940
  4. Step 4: Simplify right side
    233,352x = 259,019,923,600
  5. Step 5: Solve for x
    x = 259,019,923,600/233,352
  6. Step 6: Final answer
    x = 1,109,996.59

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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.