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Finding the Third Proportional to 271,926 and 583,215

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Solution

The third proportional to 271,926 and 583,215 is: 1,250,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,926 : 583,215 = 583,215 : x
  2. Step 2: Convert to fraction form
    271,926/583,215 = 583,215/x
  3. Step 3: Cross multiply
    271,926x = 583,215 × 583,215
  4. Step 4: Simplify right side
    271,926x = 340,139,736,225
  5. Step 5: Solve for x
    x = 340,139,736,225/271,926
  6. Step 6: Final answer
    x = 1,250,854.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.