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Finding the Third Proportional to 271,502 and 585,072

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Solution

The third proportional to 271,502 and 585,072 is: 1,260,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,502 : 585,072 = 585,072 : x
  2. Step 2: Convert to fraction form
    271,502/585,072 = 585,072/x
  3. Step 3: Cross multiply
    271,502x = 585,072 × 585,072
  4. Step 4: Simplify right side
    271,502x = 342,309,245,184
  5. Step 5: Solve for x
    x = 342,309,245,184/271,502
  6. Step 6: Final answer
    x = 1,260,798.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.