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Finding the Third Proportional to 352,294 and 785,268

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Solution

The third proportional to 352,294 and 785,268 is: 1,750,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,294 : 785,268 = 785,268 : x
  2. Step 2: Convert to fraction form
    352,294/785,268 = 785,268/x
  3. Step 3: Cross multiply
    352,294x = 785,268 × 785,268
  4. Step 4: Simplify right side
    352,294x = 616,645,831,824
  5. Step 5: Solve for x
    x = 616,645,831,824/352,294
  6. Step 6: Final answer
    x = 1,750,372.79

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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.