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Finding the Third Proportional to 470,749.50 and 966,303

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Solution

The third proportional to 470,749.50 and 966,303 is: 1,983,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,749.50 : 966,303 = 966,303 : x
  2. Step 2: Convert to fraction form
    470,749.50/966,303 = 966,303/x
  3. Step 3: Cross multiply
    470,749.50x = 966,303 × 966,303
  4. Step 4: Simplify right side
    470,749.50x = 933,741,487,809
  5. Step 5: Solve for x
    x = 933,741,487,809/470,749.50
  6. Step 6: Final answer
    x = 1,983,520.93

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Why These Related Problems?

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