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Finding the Third Proportional to 350.94 and 530.81

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Solution

The third proportional to 350.94 and 530.81 is: 802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 530.81 = 530.81 : x
  2. Step 2: Convert to fraction form
    350.94/530.81 = 530.81/x
  3. Step 3: Cross multiply
    350.94x = 530.81 × 530.81
  4. Step 4: Simplify right side
    350.94x = 281,761.91
  5. Step 5: Solve for x
    x = 281,761.91/350.94
  6. Step 6: Final answer
    x = 802.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.