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Finding the Third Proportional to 350,985 and 758,010.75

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Solution

The third proportional to 350,985 and 758,010.75 is: 1,637,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,985 : 758,010.75 = 758,010.75 : x
  2. Step 2: Convert to fraction form
    350,985/758,010.75 = 758,010.75/x
  3. Step 3: Cross multiply
    350,985x = 758,010.75 × 758,010.75
  4. Step 4: Simplify right side
    350,985x = 574,580,297,115.56
  5. Step 5: Solve for x
    x = 574,580,297,115.56/350,985
  6. Step 6: Final answer
    x = 1,637,050.86

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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.