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Finding the Third Proportional to 666,394 and 952,279

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Solution

The third proportional to 666,394 and 952,279 is: 1,360,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,394 : 952,279 = 952,279 : x
  2. Step 2: Convert to fraction form
    666,394/952,279 = 952,279/x
  3. Step 3: Cross multiply
    666,394x = 952,279 × 952,279
  4. Step 4: Simplify right side
    666,394x = 906,835,293,841
  5. Step 5: Solve for x
    x = 906,835,293,841/666,394
  6. Step 6: Final answer
    x = 1,360,809.51

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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.