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Finding the Third Proportional to 271,688 and 590,032

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Solution

The third proportional to 271,688 and 590,032 is: 1,281,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,688 : 590,032 = 590,032 : x
  2. Step 2: Convert to fraction form
    271,688/590,032 = 590,032/x
  3. Step 3: Cross multiply
    271,688x = 590,032 × 590,032
  4. Step 4: Simplify right side
    271,688x = 348,137,761,024
  5. Step 5: Solve for x
    x = 348,137,761,024/271,688
  6. Step 6: Final answer
    x = 1,281,388.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.