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Finding the Third Proportional to 274,477.50 and 583,947

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Solution

The third proportional to 274,477.50 and 583,947 is: 1,242,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,477.50 : 583,947 = 583,947 : x
  2. Step 2: Convert to fraction form
    274,477.50/583,947 = 583,947/x
  3. Step 3: Cross multiply
    274,477.50x = 583,947 × 583,947
  4. Step 4: Simplify right side
    274,477.50x = 340,994,098,809
  5. Step 5: Solve for x
    x = 340,994,098,809/274,477.50
  6. Step 6: Final answer
    x = 1,242,338.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.