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Finding the Third Proportional to 380,361 and 592,353

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Solution

The third proportional to 380,361 and 592,353 is: 922,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,361 : 592,353 = 592,353 : x
  2. Step 2: Convert to fraction form
    380,361/592,353 = 592,353/x
  3. Step 3: Cross multiply
    380,361x = 592,353 × 592,353
  4. Step 4: Simplify right side
    380,361x = 350,882,076,609
  5. Step 5: Solve for x
    x = 350,882,076,609/380,361
  6. Step 6: Final answer
    x = 922,497.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.