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Finding the Third Proportional to 509.63 and 896.06

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Solution

The third proportional to 509.63 and 896.06 is: 1,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 896.06 = 896.06 : x
  2. Step 2: Convert to fraction form
    509.63/896.06 = 896.06/x
  3. Step 3: Cross multiply
    509.63x = 896.06 × 896.06
  4. Step 4: Simplify right side
    509.63x = 802,928.00
  5. Step 5: Solve for x
    x = 802,928.00/509.63
  6. Step 6: Final answer
    x = 1,575.53

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.