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Finding the Third Proportional to 566.06 and 1,020.05

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Solution

The third proportional to 566.06 and 1,020.05 is: 1,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 1,020.05 = 1,020.05 : x
  2. Step 2: Convert to fraction form
    566.06/1,020.05 = 1,020.05/x
  3. Step 3: Cross multiply
    566.06x = 1,020.05 × 1,020.05
  4. Step 4: Simplify right side
    566.06x = 1,040,495.63
  5. Step 5: Solve for x
    x = 1,040,495.63/566.06
  6. Step 6: Final answer
    x = 1,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.