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Finding the Third Proportional to 268,338 and 583,263.75

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Solution

The third proportional to 268,338 and 583,263.75 is: 1,267,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,338 : 583,263.75 = 583,263.75 : x
  2. Step 2: Convert to fraction form
    268,338/583,263.75 = 583,263.75/x
  3. Step 3: Cross multiply
    268,338x = 583,263.75 × 583,263.75
  4. Step 4: Simplify right side
    268,338x = 340,196,602,064.06
  5. Step 5: Solve for x
    x = 340,196,602,064.06/268,338
  6. Step 6: Final answer
    x = 1,267,791.38

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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.