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Finding the Third Proportional to 271,008 and 402,582

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Solution

The third proportional to 271,008 and 402,582 is: 598,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,008 : 402,582 = 402,582 : x
  2. Step 2: Convert to fraction form
    271,008/402,582 = 402,582/x
  3. Step 3: Cross multiply
    271,008x = 402,582 × 402,582
  4. Step 4: Simplify right side
    271,008x = 162,072,266,724
  5. Step 5: Solve for x
    x = 162,072,266,724/271,008
  6. Step 6: Final answer
    x = 598,034.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.