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Finding the Third Proportional to 421,288.50 and 646,011

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Solution

The third proportional to 421,288.50 and 646,011 is: 990,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,288.50 : 646,011 = 646,011 : x
  2. Step 2: Convert to fraction form
    421,288.50/646,011 = 646,011/x
  3. Step 3: Cross multiply
    421,288.50x = 646,011 × 646,011
  4. Step 4: Simplify right side
    421,288.50x = 417,330,212,121
  5. Step 5: Solve for x
    x = 417,330,212,121/421,288.50
  6. Step 6: Final answer
    x = 990,604.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.