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Finding the Third Proportional to 271,201 and 583,217

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Solution

The third proportional to 271,201 and 583,217 is: 1,254,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,201 : 583,217 = 583,217 : x
  2. Step 2: Convert to fraction form
    271,201/583,217 = 583,217/x
  3. Step 3: Cross multiply
    271,201x = 583,217 × 583,217
  4. Step 4: Simplify right side
    271,201x = 340,142,069,089
  5. Step 5: Solve for x
    x = 340,142,069,089/271,201
  6. Step 6: Final answer
    x = 1,254,206.54

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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.