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Finding the Third Proportional to 470,742.75 and 966,291.75

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Solution

The third proportional to 470,742.75 and 966,291.75 is: 1,983,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,742.75 : 966,291.75 = 966,291.75 : x
  2. Step 2: Convert to fraction form
    470,742.75/966,291.75 = 966,291.75/x
  3. Step 3: Cross multiply
    470,742.75x = 966,291.75 × 966,291.75
  4. Step 4: Simplify right side
    470,742.75x = 933,719,746,118.06
  5. Step 5: Solve for x
    x = 933,719,746,118.06/470,742.75
  6. Step 6: Final answer
    x = 1,983,503.19

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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.