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Finding the Third Proportional to 233,784 and 334,302

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Solution

The third proportional to 233,784 and 334,302 is: 478,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784 : 334,302 = 334,302 : x
  2. Step 2: Convert to fraction form
    233,784/334,302 = 334,302/x
  3. Step 3: Cross multiply
    233,784x = 334,302 × 334,302
  4. Step 4: Simplify right side
    233,784x = 111,757,827,204
  5. Step 5: Solve for x
    x = 111,757,827,204/233,784
  6. Step 6: Final answer
    x = 478,038.82

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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.