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Finding the Third Proportional to 380,355 and 592,342.69

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Solution

The third proportional to 380,355 and 592,342.69 is: 922,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,355 : 592,342.69 = 592,342.69 : x
  2. Step 2: Convert to fraction form
    380,355/592,342.69 = 592,342.69/x
  3. Step 3: Cross multiply
    380,355x = 592,342.69 × 592,342.69
  4. Step 4: Simplify right side
    380,355x = 350,869,859,434.72
  5. Step 5: Solve for x
    x = 350,869,859,434.72/380,355
  6. Step 6: Final answer
    x = 922,479.94

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