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Finding the Third Proportional to 380,359 and 592,349

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Solution

The third proportional to 380,359 and 592,349 is: 922,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,359 : 592,349 = 592,349 : x
  2. Step 2: Convert to fraction form
    380,359/592,349 = 592,349/x
  3. Step 3: Cross multiply
    380,359x = 592,349 × 592,349
  4. Step 4: Simplify right side
    380,359x = 350,877,337,801
  5. Step 5: Solve for x
    x = 350,877,337,801/380,359
  6. Step 6: Final answer
    x = 922,489.91

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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.