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Finding the Third Proportional to 334,233 and 696,001.50

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Solution

The third proportional to 334,233 and 696,001.50 is: 1,449,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,233 : 696,001.50 = 696,001.50 : x
  2. Step 2: Convert to fraction form
    334,233/696,001.50 = 696,001.50/x
  3. Step 3: Cross multiply
    334,233x = 696,001.50 × 696,001.50
  4. Step 4: Simplify right side
    334,233x = 484,418,088,002.25
  5. Step 5: Solve for x
    x = 484,418,088,002.25/334,233
  6. Step 6: Final answer
    x = 1,449,342.49

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.