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Finding the Third Proportional to 529.63 and 756.63

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Solution

The third proportional to 529.63 and 756.63 is: 1,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 756.63 = 756.63 : x
  2. Step 2: Convert to fraction form
    529.63/756.63 = 756.63/x
  3. Step 3: Cross multiply
    529.63x = 756.63 × 756.63
  4. Step 4: Simplify right side
    529.63x = 572,481.39
  5. Step 5: Solve for x
    x = 572,481.39/529.63
  6. Step 6: Final answer
    x = 1,080.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.