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Finding the Third Proportional to 351.63 and 530.13

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Solution

The third proportional to 351.63 and 530.13 is: 799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.63 : 530.13 = 530.13 : x
  2. Step 2: Convert to fraction form
    351.63/530.13 = 530.13/x
  3. Step 3: Cross multiply
    351.63x = 530.13 × 530.13
  4. Step 4: Simplify right side
    351.63x = 281,032.52
  5. Step 5: Solve for x
    x = 281,032.52/351.63
  6. Step 6: Final answer
    x = 799.24

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Why These Related Problems?

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