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Finding the Third Proportional to 234,624.94 and 512,274.38

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Solution

The third proportional to 234,624.94 and 512,274.38 is: 1,118,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,624.94 : 512,274.38 = 512,274.38 : x
  2. Step 2: Convert to fraction form
    234,624.94/512,274.38 = 512,274.38/x
  3. Step 3: Cross multiply
    234,624.94x = 512,274.38 × 512,274.38
  4. Step 4: Simplify right side
    234,624.94x = 262,425,035,281.64
  5. Step 5: Solve for x
    x = 262,425,035,281.64/234,624.94
  6. Step 6: Final answer
    x = 1,118,487.40

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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.