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Finding the Third Proportional to 360,333 and 784,092

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Solution

The third proportional to 360,333 and 784,092 is: 1,706,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,333 : 784,092 = 784,092 : x
  2. Step 2: Convert to fraction form
    360,333/784,092 = 784,092/x
  3. Step 3: Cross multiply
    360,333x = 784,092 × 784,092
  4. Step 4: Simplify right side
    360,333x = 614,800,264,464
  5. Step 5: Solve for x
    x = 614,800,264,464/360,333
  6. Step 6: Final answer
    x = 1,706,200.28

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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.