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Finding the Third Proportional to 570.25 and 906.63

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Solution

The third proportional to 570.25 and 906.63 is: 1,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 906.63 = 906.63 : x
  2. Step 2: Convert to fraction form
    570.25/906.63 = 906.63/x
  3. Step 3: Cross multiply
    570.25x = 906.63 × 906.63
  4. Step 4: Simplify right side
    570.25x = 821,968.89
  5. Step 5: Solve for x
    x = 821,968.89/570.25
  6. Step 6: Final answer
    x = 1,441.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.