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Finding the Third Proportional to 395,154 and 612,783

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Solution

The third proportional to 395,154 and 612,783 is: 950,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,154 : 612,783 = 612,783 : x
  2. Step 2: Convert to fraction form
    395,154/612,783 = 612,783/x
  3. Step 3: Cross multiply
    395,154x = 612,783 × 612,783
  4. Step 4: Simplify right side
    395,154x = 375,503,005,089
  5. Step 5: Solve for x
    x = 375,503,005,089/395,154
  6. Step 6: Final answer
    x = 950,270.03

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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.