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Finding the Third Proportional to 395,186 and 613,053

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Solution

The third proportional to 395,186 and 613,053 is: 951,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,186 : 613,053 = 613,053 : x
  2. Step 2: Convert to fraction form
    395,186/613,053 = 613,053/x
  3. Step 3: Cross multiply
    395,186x = 613,053 × 613,053
  4. Step 4: Simplify right side
    395,186x = 375,833,980,809
  5. Step 5: Solve for x
    x = 375,833,980,809/395,186
  6. Step 6: Final answer
    x = 951,030.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.