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Finding the Third Proportional to 729,996 and 976,470

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Solution

The third proportional to 729,996 and 976,470 is: 1,306,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,996 : 976,470 = 976,470 : x
  2. Step 2: Convert to fraction form
    729,996/976,470 = 976,470/x
  3. Step 3: Cross multiply
    729,996x = 976,470 × 976,470
  4. Step 4: Simplify right side
    729,996x = 953,493,660,900
  5. Step 5: Solve for x
    x = 953,493,660,900/729,996
  6. Step 6: Final answer
    x = 1,306,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.