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Finding the Third Proportional to 271,083 and 593,862

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Solution

The third proportional to 271,083 and 593,862 is: 1,300,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,083 : 593,862 = 593,862 : x
  2. Step 2: Convert to fraction form
    271,083/593,862 = 593,862/x
  3. Step 3: Cross multiply
    271,083x = 593,862 × 593,862
  4. Step 4: Simplify right side
    271,083x = 352,672,075,044
  5. Step 5: Solve for x
    x = 352,672,075,044/271,083
  6. Step 6: Final answer
    x = 1,300,974.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.