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Finding the Third Proportional to 433,219.08 and 966,049.03

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Solution

The third proportional to 433,219.08 and 966,049.03 is: 2,154,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,219.08 : 966,049.03 = 966,049.03 : x
  2. Step 2: Convert to fraction form
    433,219.08/966,049.03 = 966,049.03/x
  3. Step 3: Cross multiply
    433,219.08x = 966,049.03 × 966,049.03
  4. Step 4: Simplify right side
    433,219.08x = 933,250,730,779.06
  5. Step 5: Solve for x
    x = 933,250,730,779.06/433,219.08
  6. Step 6: Final answer
    x = 2,154,223.53

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.