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Finding the Third Proportional to 271,344 and 578,712

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Solution

The third proportional to 271,344 and 578,712 is: 1,234,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,344 : 578,712 = 578,712 : x
  2. Step 2: Convert to fraction form
    271,344/578,712 = 578,712/x
  3. Step 3: Cross multiply
    271,344x = 578,712 × 578,712
  4. Step 4: Simplify right side
    271,344x = 334,907,578,944
  5. Step 5: Solve for x
    x = 334,907,578,944/271,344
  6. Step 6: Final answer
    x = 1,234,254.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.