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Finding the Third Proportional to 233,784 and 334,287

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Solution

The third proportional to 233,784 and 334,287 is: 477,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784 : 334,287 = 334,287 : x
  2. Step 2: Convert to fraction form
    233,784/334,287 = 334,287/x
  3. Step 3: Cross multiply
    233,784x = 334,287 × 334,287
  4. Step 4: Simplify right side
    233,784x = 111,747,798,369
  5. Step 5: Solve for x
    x = 111,747,798,369/233,784
  6. Step 6: Final answer
    x = 477,995.92

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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.