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Finding the Third Proportional to 357,739 and 758,110

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Solution

The third proportional to 357,739 and 758,110 is: 1,606,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,739 : 758,110 = 758,110 : x
  2. Step 2: Convert to fraction form
    357,739/758,110 = 758,110/x
  3. Step 3: Cross multiply
    357,739x = 758,110 × 758,110
  4. Step 4: Simplify right side
    357,739x = 574,730,772,100
  5. Step 5: Solve for x
    x = 574,730,772,100/357,739
  6. Step 6: Final answer
    x = 1,606,564.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.