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Finding the Third Proportional to 350,996 and 758,034

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Solution

The third proportional to 350,996 and 758,034 is: 1,637,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,996 : 758,034 = 758,034 : x
  2. Step 2: Convert to fraction form
    350,996/758,034 = 758,034/x
  3. Step 3: Cross multiply
    350,996x = 758,034 × 758,034
  4. Step 4: Simplify right side
    350,996x = 574,615,545,156
  5. Step 5: Solve for x
    x = 574,615,545,156/350,996
  6. Step 6: Final answer
    x = 1,637,099.98

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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.