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Finding the Third Proportional to 345,872 and 757,356

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Solution

The third proportional to 345,872 and 757,356 is: 1,658,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,872 : 757,356 = 757,356 : x
  2. Step 2: Convert to fraction form
    345,872/757,356 = 757,356/x
  3. Step 3: Cross multiply
    345,872x = 757,356 × 757,356
  4. Step 4: Simplify right side
    345,872x = 573,588,110,736
  5. Step 5: Solve for x
    x = 573,588,110,736/345,872
  6. Step 6: Final answer
    x = 1,658,382.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.