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Finding the Third Proportional to 350,504 and 765,872

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Solution

The third proportional to 350,504 and 765,872 is: 1,673,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,504 : 765,872 = 765,872 : x
  2. Step 2: Convert to fraction form
    350,504/765,872 = 765,872/x
  3. Step 3: Cross multiply
    350,504x = 765,872 × 765,872
  4. Step 4: Simplify right side
    350,504x = 586,559,920,384
  5. Step 5: Solve for x
    x = 586,559,920,384/350,504
  6. Step 6: Final answer
    x = 1,673,475.68

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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.