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Finding the Third Proportional to 360,936 and 784,212

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Solution

The third proportional to 360,936 and 784,212 is: 1,703,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,936 : 784,212 = 784,212 : x
  2. Step 2: Convert to fraction form
    360,936/784,212 = 784,212/x
  3. Step 3: Cross multiply
    360,936x = 784,212 × 784,212
  4. Step 4: Simplify right side
    360,936x = 614,988,460,944
  5. Step 5: Solve for x
    x = 614,988,460,944/360,936
  6. Step 6: Final answer
    x = 1,703,871.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.