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Finding the Third Proportional to 334,401 and 727,852.50

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Solution

The third proportional to 334,401 and 727,852.50 is: 1,584,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,401 : 727,852.50 = 727,852.50 : x
  2. Step 2: Convert to fraction form
    334,401/727,852.50 = 727,852.50/x
  3. Step 3: Cross multiply
    334,401x = 727,852.50 × 727,852.50
  4. Step 4: Simplify right side
    334,401x = 529,769,261,756.25
  5. Step 5: Solve for x
    x = 529,769,261,756.25/334,401
  6. Step 6: Final answer
    x = 1,584,233.49

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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.