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Finding the Third Proportional to 294,334.50 and 635,706

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Solution

The third proportional to 294,334.50 and 635,706 is: 1,373,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,334.50 : 635,706 = 635,706 : x
  2. Step 2: Convert to fraction form
    294,334.50/635,706 = 635,706/x
  3. Step 3: Cross multiply
    294,334.50x = 635,706 × 635,706
  4. Step 4: Simplify right side
    294,334.50x = 404,122,118,436
  5. Step 5: Solve for x
    x = 404,122,118,436/294,334.50
  6. Step 6: Final answer
    x = 1,373,002.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.