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Finding the Third Proportional to 233,354 and 508,942

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Solution

The third proportional to 233,354 and 508,942 is: 1,109,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,354 : 508,942 = 508,942 : x
  2. Step 2: Convert to fraction form
    233,354/508,942 = 508,942/x
  3. Step 3: Cross multiply
    233,354x = 508,942 × 508,942
  4. Step 4: Simplify right side
    233,354x = 259,021,959,364
  5. Step 5: Solve for x
    x = 259,021,959,364/233,354
  6. Step 6: Final answer
    x = 1,109,995.80

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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.