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Finding the Third Proportional to 354,690 and 778,302

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Solution

The third proportional to 354,690 and 778,302 is: 1,707,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,690 : 778,302 = 778,302 : x
  2. Step 2: Convert to fraction form
    354,690/778,302 = 778,302/x
  3. Step 3: Cross multiply
    354,690x = 778,302 × 778,302
  4. Step 4: Simplify right side
    354,690x = 605,754,003,204
  5. Step 5: Solve for x
    x = 605,754,003,204/354,690
  6. Step 6: Final answer
    x = 1,707,840.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.