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Finding the Third Proportional to 666,499 and 952,427

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Solution

The third proportional to 666,499 and 952,427 is: 1,361,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,499 : 952,427 = 952,427 : x
  2. Step 2: Convert to fraction form
    666,499/952,427 = 952,427/x
  3. Step 3: Cross multiply
    666,499x = 952,427 × 952,427
  4. Step 4: Simplify right side
    666,499x = 907,117,190,329
  5. Step 5: Solve for x
    x = 907,117,190,329/666,499
  6. Step 6: Final answer
    x = 1,361,018.08

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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.