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Finding the Third Proportional to 380,358.75 and 592,348.13

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Solution

The third proportional to 380,358.75 and 592,348.13 is: 922,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,358.75 : 592,348.13 = 592,348.13 : x
  2. Step 2: Convert to fraction form
    380,358.75/592,348.13 = 592,348.13/x
  3. Step 3: Cross multiply
    380,358.75x = 592,348.13 × 592,348.13
  4. Step 4: Simplify right side
    380,358.75x = 350,876,301,191.02
  5. Step 5: Solve for x
    x = 350,876,301,191.02/380,358.75
  6. Step 6: Final answer
    x = 922,487.79

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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.