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Finding the Third Proportional to 268,340 and 583,268

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Solution

The third proportional to 268,340 and 583,268 is: 1,267,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,340 : 583,268 = 583,268 : x
  2. Step 2: Convert to fraction form
    268,340/583,268 = 583,268/x
  3. Step 3: Cross multiply
    268,340x = 583,268 × 583,268
  4. Step 4: Simplify right side
    268,340x = 340,201,559,824
  5. Step 5: Solve for x
    x = 340,201,559,824/268,340
  6. Step 6: Final answer
    x = 1,267,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.