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Finding the Third Proportional to 354,536 and 777,954

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Solution

The third proportional to 354,536 and 777,954 is: 1,707,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,536 : 777,954 = 777,954 : x
  2. Step 2: Convert to fraction form
    354,536/777,954 = 777,954/x
  3. Step 3: Cross multiply
    354,536x = 777,954 × 777,954
  4. Step 4: Simplify right side
    354,536x = 605,212,426,116
  5. Step 5: Solve for x
    x = 605,212,426,116/354,536
  6. Step 6: Final answer
    x = 1,707,054.93

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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.