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Finding the Third Proportional to 350,983 and 758,009

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Solution

The third proportional to 350,983 and 758,009 is: 1,637,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,983 : 758,009 = 758,009 : x
  2. Step 2: Convert to fraction form
    350,983/758,009 = 758,009/x
  3. Step 3: Cross multiply
    350,983x = 758,009 × 758,009
  4. Step 4: Simplify right side
    350,983x = 574,577,644,081
  5. Step 5: Solve for x
    x = 574,577,644,081/350,983
  6. Step 6: Final answer
    x = 1,637,052.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.