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Finding the Third Proportional to 294,094 and 644,200

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Solution

The third proportional to 294,094 and 644,200 is: 1,411,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,094 : 644,200 = 644,200 : x
  2. Step 2: Convert to fraction form
    294,094/644,200 = 644,200/x
  3. Step 3: Cross multiply
    294,094x = 644,200 × 644,200
  4. Step 4: Simplify right side
    294,094x = 414,993,640,000
  5. Step 5: Solve for x
    x = 414,993,640,000/294,094
  6. Step 6: Final answer
    x = 1,411,091.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.