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Finding the Third Proportional to 334,422 and 714,204

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Solution

The third proportional to 334,422 and 714,204 is: 1,525,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,422 : 714,204 = 714,204 : x
  2. Step 2: Convert to fraction form
    334,422/714,204 = 714,204/x
  3. Step 3: Cross multiply
    334,422x = 714,204 × 714,204
  4. Step 4: Simplify right side
    334,422x = 510,087,353,616
  5. Step 5: Solve for x
    x = 510,087,353,616/334,422
  6. Step 6: Final answer
    x = 1,525,280.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.