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Finding the Third Proportional to 370,046 and 806,912

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Solution

The third proportional to 370,046 and 806,912 is: 1,759,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,046 : 806,912 = 806,912 : x
  2. Step 2: Convert to fraction form
    370,046/806,912 = 806,912/x
  3. Step 3: Cross multiply
    370,046x = 806,912 × 806,912
  4. Step 4: Simplify right side
    370,046x = 651,106,975,744
  5. Step 5: Solve for x
    x = 651,106,975,744/370,046
  6. Step 6: Final answer
    x = 1,759,529.83

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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.