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Finding the Third Proportional to 655,945 and 985,942

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Solution

The third proportional to 655,945 and 985,942 is: 1,481,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,945 : 985,942 = 985,942 : x
  2. Step 2: Convert to fraction form
    655,945/985,942 = 985,942/x
  3. Step 3: Cross multiply
    655,945x = 985,942 × 985,942
  4. Step 4: Simplify right side
    655,945x = 972,081,627,364
  5. Step 5: Solve for x
    x = 972,081,627,364/655,945
  6. Step 6: Final answer
    x = 1,481,956.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.