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Finding the Third Proportional to 357,719.25 and 758,084.75

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Solution

The third proportional to 357,719.25 and 758,084.75 is: 1,606,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,719.25 : 758,084.75 = 758,084.75 : x
  2. Step 2: Convert to fraction form
    357,719.25/758,084.75 = 758,084.75/x
  3. Step 3: Cross multiply
    357,719.25x = 758,084.75 × 758,084.75
  4. Step 4: Simplify right side
    357,719.25x = 574,692,488,182.56
  5. Step 5: Solve for x
    x = 574,692,488,182.56/357,719.25
  6. Step 6: Final answer
    x = 1,606,546.16

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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.