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Finding the Third Proportional to 275,346 and 583,770.28

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Solution

The third proportional to 275,346 and 583,770.28 is: 1,237,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,346 : 583,770.28 = 583,770.28 : x
  2. Step 2: Convert to fraction form
    275,346/583,770.28 = 583,770.28/x
  3. Step 3: Cross multiply
    275,346x = 583,770.28 × 583,770.28
  4. Step 4: Simplify right side
    275,346x = 340,787,741,270.70
  5. Step 5: Solve for x
    x = 340,787,741,270.70/275,346
  6. Step 6: Final answer
    x = 1,237,670.94

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