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Finding the Third Proportional to 447,788.25 and 973,458

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Solution

The third proportional to 447,788.25 and 973,458 is: 2,116,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,788.25 : 973,458 = 973,458 : x
  2. Step 2: Convert to fraction form
    447,788.25/973,458 = 973,458/x
  3. Step 3: Cross multiply
    447,788.25x = 973,458 × 973,458
  4. Step 4: Simplify right side
    447,788.25x = 947,620,477,764
  5. Step 5: Solve for x
    x = 947,620,477,764/447,788.25
  6. Step 6: Final answer
    x = 2,116,224.53

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