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Finding the Third Proportional to 352,296 and 785,270

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Solution

The third proportional to 352,296 and 785,270 is: 1,750,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,296 : 785,270 = 785,270 : x
  2. Step 2: Convert to fraction form
    352,296/785,270 = 785,270/x
  3. Step 3: Cross multiply
    352,296x = 785,270 × 785,270
  4. Step 4: Simplify right side
    352,296x = 616,648,972,900
  5. Step 5: Solve for x
    x = 616,648,972,900/352,296
  6. Step 6: Final answer
    x = 1,750,371.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.