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Finding the Third Proportional to 380,355.38 and 592,343.25

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Solution

The third proportional to 380,355.38 and 592,343.25 is: 922,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,355.38 : 592,343.25 = 592,343.25 : x
  2. Step 2: Convert to fraction form
    380,355.38/592,343.25 = 592,343.25/x
  3. Step 3: Cross multiply
    380,355.38x = 592,343.25 × 592,343.25
  4. Step 4: Simplify right side
    380,355.38x = 350,870,525,820.56
  5. Step 5: Solve for x
    x = 350,870,525,820.56/380,355.38
  6. Step 6: Final answer
    x = 922,480.79

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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.