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Finding the Third Proportional to 451,333.50 and 973,198.50

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Solution

The third proportional to 451,333.50 and 973,198.50 is: 2,098,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,333.50 : 973,198.50 = 973,198.50 : x
  2. Step 2: Convert to fraction form
    451,333.50/973,198.50 = 973,198.50/x
  3. Step 3: Cross multiply
    451,333.50x = 973,198.50 × 973,198.50
  4. Step 4: Simplify right side
    451,333.50x = 947,115,320,402.25
  5. Step 5: Solve for x
    x = 947,115,320,402.25/451,333.50
  6. Step 6: Final answer
    x = 2,098,482.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.