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Finding the Third Proportional to 294,708 and 443,781

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Solution

The third proportional to 294,708 and 443,781 is: 668,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,708 : 443,781 = 443,781 : x
  2. Step 2: Convert to fraction form
    294,708/443,781 = 443,781/x
  3. Step 3: Cross multiply
    294,708x = 443,781 × 443,781
  4. Step 4: Simplify right side
    294,708x = 196,941,575,961
  5. Step 5: Solve for x
    x = 196,941,575,961/294,708
  6. Step 6: Final answer
    x = 668,260.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.