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Finding the Third Proportional to 470,020.50 and 964,926

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Solution

The third proportional to 470,020.50 and 964,926 is: 1,980,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,020.50 : 964,926 = 964,926 : x
  2. Step 2: Convert to fraction form
    470,020.50/964,926 = 964,926/x
  3. Step 3: Cross multiply
    470,020.50x = 964,926 × 964,926
  4. Step 4: Simplify right side
    470,020.50x = 931,082,185,476
  5. Step 5: Solve for x
    x = 931,082,185,476/470,020.50
  6. Step 6: Final answer
    x = 1,980,939.52

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.