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Finding the Third Proportional to 355,950 and 757,116

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Solution

The third proportional to 355,950 and 757,116 is: 1,610,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,950 : 757,116 = 757,116 : x
  2. Step 2: Convert to fraction form
    355,950/757,116 = 757,116/x
  3. Step 3: Cross multiply
    355,950x = 757,116 × 757,116
  4. Step 4: Simplify right side
    355,950x = 573,224,637,456
  5. Step 5: Solve for x
    x = 573,224,637,456/355,950
  6. Step 6: Final answer
    x = 1,610,407.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.