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Finding the Third Proportional to 365,526 and 846,141

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Solution

The third proportional to 365,526 and 846,141 is: 1,958,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,526 : 846,141 = 846,141 : x
  2. Step 2: Convert to fraction form
    365,526/846,141 = 846,141/x
  3. Step 3: Cross multiply
    365,526x = 846,141 × 846,141
  4. Step 4: Simplify right side
    365,526x = 715,954,591,881
  5. Step 5: Solve for x
    x = 715,954,591,881/365,526
  6. Step 6: Final answer
    x = 1,958,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.