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Finding the Third Proportional to 369,923 and 806,875

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Solution

The third proportional to 369,923 and 806,875 is: 1,759,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,923 : 806,875 = 806,875 : x
  2. Step 2: Convert to fraction form
    369,923/806,875 = 806,875/x
  3. Step 3: Cross multiply
    369,923x = 806,875 × 806,875
  4. Step 4: Simplify right side
    369,923x = 651,047,265,625
  5. Step 5: Solve for x
    x = 651,047,265,625/369,923
  6. Step 6: Final answer
    x = 1,759,953.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.