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Finding the Third Proportional to 344.63 and 521.81

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Solution

The third proportional to 344.63 and 521.81 is: 790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 521.81 = 521.81 : x
  2. Step 2: Convert to fraction form
    344.63/521.81 = 521.81/x
  3. Step 3: Cross multiply
    344.63x = 521.81 × 521.81
  4. Step 4: Simplify right side
    344.63x = 272,288.29
  5. Step 5: Solve for x
    x = 272,288.29/344.63
  6. Step 6: Final answer
    x = 790.10

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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.