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Finding the Third Proportional to 413 and 1,127

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Solution

The third proportional to 413 and 1,127 is: 3,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 1,127 = 1,127 : x
  2. Step 2: Convert to fraction form
    413/1,127 = 1,127/x
  3. Step 3: Cross multiply
    413x = 1,127 × 1,127
  4. Step 4: Simplify right side
    413x = 1,270,129
  5. Step 5: Solve for x
    x = 1,270,129/413
  6. Step 6: Final answer
    x = 3,075.37

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These problems maintain the same ratio (2.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.