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Finding the Third Proportional to 470,345.48 and 694,446.54

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Solution

The third proportional to 470,345.48 and 694,446.54 is: 1,025,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,345.48 : 694,446.54 = 694,446.54 : x
  2. Step 2: Convert to fraction form
    470,345.48/694,446.54 = 694,446.54/x
  3. Step 3: Cross multiply
    470,345.48x = 694,446.54 × 694,446.54
  4. Step 4: Simplify right side
    470,345.48x = 482,255,995,615.88
  5. Step 5: Solve for x
    x = 482,255,995,615.88/470,345.48
  6. Step 6: Final answer
    x = 1,025,322.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.