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Finding the Third Proportional to 1,290.52 and 1,570.43

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Solution

The third proportional to 1,290.52 and 1,570.43 is: 1,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.52 : 1,570.43 = 1,570.43 : x
  2. Step 2: Convert to fraction form
    1,290.52/1,570.43 = 1,570.43/x
  3. Step 3: Cross multiply
    1,290.52x = 1,570.43 × 1,570.43
  4. Step 4: Simplify right side
    1,290.52x = 2,466,249.40
  5. Step 5: Solve for x
    x = 2,466,249.40/1,290.52
  6. Step 6: Final answer
    x = 1,911.06

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.