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Finding the Third Proportional to 666,397 and 952,284

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Solution

The third proportional to 666,397 and 952,284 is: 1,360,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,397 : 952,284 = 952,284 : x
  2. Step 2: Convert to fraction form
    666,397/952,284 = 952,284/x
  3. Step 3: Cross multiply
    666,397x = 952,284 × 952,284
  4. Step 4: Simplify right side
    666,397x = 906,844,816,656
  5. Step 5: Solve for x
    x = 906,844,816,656/666,397
  6. Step 6: Final answer
    x = 1,360,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.