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Finding the Third Proportional to 275,087 and 583,293

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Solution

The third proportional to 275,087 and 583,293 is: 1,236,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,087 : 583,293 = 583,293 : x
  2. Step 2: Convert to fraction form
    275,087/583,293 = 583,293/x
  3. Step 3: Cross multiply
    275,087x = 583,293 × 583,293
  4. Step 4: Simplify right side
    275,087x = 340,230,723,849
  5. Step 5: Solve for x
    x = 340,230,723,849/275,087
  6. Step 6: Final answer
    x = 1,236,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.