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Finding the Third Proportional to 233,938 and 334,540

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Solution

The third proportional to 233,938 and 334,540 is: 478,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,938 : 334,540 = 334,540 : x
  2. Step 2: Convert to fraction form
    233,938/334,540 = 334,540/x
  3. Step 3: Cross multiply
    233,938x = 334,540 × 334,540
  4. Step 4: Simplify right side
    233,938x = 111,917,011,600
  5. Step 5: Solve for x
    x = 111,917,011,600/233,938
  6. Step 6: Final answer
    x = 478,404.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.