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Finding the Third Proportional to 357,876 and 757,152

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Solution

The third proportional to 357,876 and 757,152 is: 1,601,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,876 : 757,152 = 757,152 : x
  2. Step 2: Convert to fraction form
    357,876/757,152 = 757,152/x
  3. Step 3: Cross multiply
    357,876x = 757,152 × 757,152
  4. Step 4: Simplify right side
    357,876x = 573,279,151,104
  5. Step 5: Solve for x
    x = 573,279,151,104/357,876
  6. Step 6: Final answer
    x = 1,601,893.26

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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.