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Finding the Third Proportional to 435,652 and 666,294

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Solution

The third proportional to 435,652 and 666,294 is: 1,019,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,652 : 666,294 = 666,294 : x
  2. Step 2: Convert to fraction form
    435,652/666,294 = 666,294/x
  3. Step 3: Cross multiply
    435,652x = 666,294 × 666,294
  4. Step 4: Simplify right side
    435,652x = 443,947,694,436
  5. Step 5: Solve for x
    x = 443,947,694,436/435,652
  6. Step 6: Final answer
    x = 1,019,042.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.