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Finding the Third Proportional to 350,490 and 765,843

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Solution

The third proportional to 350,490 and 765,843 is: 1,673,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,490 : 765,843 = 765,843 : x
  2. Step 2: Convert to fraction form
    350,490/765,843 = 765,843/x
  3. Step 3: Cross multiply
    350,490x = 765,843 × 765,843
  4. Step 4: Simplify right side
    350,490x = 586,515,500,649
  5. Step 5: Solve for x
    x = 586,515,500,649/350,490
  6. Step 6: Final answer
    x = 1,673,415.79

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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.