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Finding the Third Proportional to 521.63 and 832.13

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Solution

The third proportional to 521.63 and 832.13 is: 1,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.63 : 832.13 = 832.13 : x
  2. Step 2: Convert to fraction form
    521.63/832.13 = 832.13/x
  3. Step 3: Cross multiply
    521.63x = 832.13 × 832.13
  4. Step 4: Simplify right side
    521.63x = 692,432.02
  5. Step 5: Solve for x
    x = 692,432.02/521.63
  6. Step 6: Final answer
    x = 1,327.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.