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Finding the Third Proportional to 294,244.69 and 623,804.06

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Solution

The third proportional to 294,244.69 and 623,804.06 is: 1,322,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,244.69 : 623,804.06 = 623,804.06 : x
  2. Step 2: Convert to fraction form
    294,244.69/623,804.06 = 623,804.06/x
  3. Step 3: Cross multiply
    294,244.69x = 623,804.06 × 623,804.06
  4. Step 4: Simplify right side
    294,244.69x = 389,131,508,391.50
  5. Step 5: Solve for x
    x = 389,131,508,391.50/294,244.69
  6. Step 6: Final answer
    x = 1,322,475.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.