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Finding the Third Proportional to 729,974 and 976,437

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Solution

The third proportional to 729,974 and 976,437 is: 1,306,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,974 : 976,437 = 976,437 : x
  2. Step 2: Convert to fraction form
    729,974/976,437 = 976,437/x
  3. Step 3: Cross multiply
    729,974x = 976,437 × 976,437
  4. Step 4: Simplify right side
    729,974x = 953,429,214,969
  5. Step 5: Solve for x
    x = 953,429,214,969/729,974
  6. Step 6: Final answer
    x = 1,306,113.94

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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.