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Finding the Third Proportional to 357,804 and 758,268

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Solution

The third proportional to 357,804 and 758,268 is: 1,606,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,804 : 758,268 = 758,268 : x
  2. Step 2: Convert to fraction form
    357,804/758,268 = 758,268/x
  3. Step 3: Cross multiply
    357,804x = 758,268 × 758,268
  4. Step 4: Simplify right side
    357,804x = 574,970,359,824
  5. Step 5: Solve for x
    x = 574,970,359,824/357,804
  6. Step 6: Final answer
    x = 1,606,942.24

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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.