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Finding the Third Proportional to 380,357 and 592,346

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Solution

The third proportional to 380,357 and 592,346 is: 922,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,357 : 592,346 = 592,346 : x
  2. Step 2: Convert to fraction form
    380,357/592,346 = 592,346/x
  3. Step 3: Cross multiply
    380,357x = 592,346 × 592,346
  4. Step 4: Simplify right side
    380,357x = 350,873,783,716
  5. Step 5: Solve for x
    x = 350,873,783,716/380,357
  6. Step 6: Final answer
    x = 922,485.41

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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.