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Finding the Third Proportional to 234,033 and 334,424.50

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Solution

The third proportional to 234,033 and 334,424.50 is: 477,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,033 : 334,424.50 = 334,424.50 : x
  2. Step 2: Convert to fraction form
    234,033/334,424.50 = 334,424.50/x
  3. Step 3: Cross multiply
    234,033x = 334,424.50 × 334,424.50
  4. Step 4: Simplify right side
    234,033x = 111,839,746,200.25
  5. Step 5: Solve for x
    x = 111,839,746,200.25/234,033
  6. Step 6: Final answer
    x = 477,880.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.