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Finding the Third Proportional to 271,818 and 578,628

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Solution

The third proportional to 271,818 and 578,628 is: 1,231,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818 : 578,628 = 578,628 : x
  2. Step 2: Convert to fraction form
    271,818/578,628 = 578,628/x
  3. Step 3: Cross multiply
    271,818x = 578,628 × 578,628
  4. Step 4: Simplify right side
    271,818x = 334,810,362,384
  5. Step 5: Solve for x
    x = 334,810,362,384/271,818
  6. Step 6: Final answer
    x = 1,231,744.63

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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.