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Finding the Third Proportional to 350,654 and 766,919

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Solution

The third proportional to 350,654 and 766,919 is: 1,677,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,654 : 766,919 = 766,919 : x
  2. Step 2: Convert to fraction form
    350,654/766,919 = 766,919/x
  3. Step 3: Cross multiply
    350,654x = 766,919 × 766,919
  4. Step 4: Simplify right side
    350,654x = 588,164,752,561
  5. Step 5: Solve for x
    x = 588,164,752,561/350,654
  6. Step 6: Final answer
    x = 1,677,336.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.