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Finding the Third Proportional to 352,014 and 757,097

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Solution

The third proportional to 352,014 and 757,097 is: 1,628,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,014 : 757,097 = 757,097 : x
  2. Step 2: Convert to fraction form
    352,014/757,097 = 757,097/x
  3. Step 3: Cross multiply
    352,014x = 757,097 × 757,097
  4. Step 4: Simplify right side
    352,014x = 573,195,867,409
  5. Step 5: Solve for x
    x = 573,195,867,409/352,014
  6. Step 6: Final answer
    x = 1,628,332.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.