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Finding the Third Proportional to 360,134 and 774,913

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Solution

The third proportional to 360,134 and 774,913 is: 1,667,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,134 : 774,913 = 774,913 : x
  2. Step 2: Convert to fraction form
    360,134/774,913 = 774,913/x
  3. Step 3: Cross multiply
    360,134x = 774,913 × 774,913
  4. Step 4: Simplify right side
    360,134x = 600,490,157,569
  5. Step 5: Solve for x
    x = 600,490,157,569/360,134
  6. Step 6: Final answer
    x = 1,667,407.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.