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Finding the Third Proportional to 271,632 and 590,490

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Solution

The third proportional to 271,632 and 590,490 is: 1,283,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,632 : 590,490 = 590,490 : x
  2. Step 2: Convert to fraction form
    271,632/590,490 = 590,490/x
  3. Step 3: Cross multiply
    271,632x = 590,490 × 590,490
  4. Step 4: Simplify right side
    271,632x = 348,678,440,100
  5. Step 5: Solve for x
    x = 348,678,440,100/271,632
  6. Step 6: Final answer
    x = 1,283,642.72

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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.