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Finding the Third Proportional to 340,096.50 and 702,225

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Solution

The third proportional to 340,096.50 and 702,225 is: 1,449,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,096.50 : 702,225 = 702,225 : x
  2. Step 2: Convert to fraction form
    340,096.50/702,225 = 702,225/x
  3. Step 3: Cross multiply
    340,096.50x = 702,225 × 702,225
  4. Step 4: Simplify right side
    340,096.50x = 493,119,950,625
  5. Step 5: Solve for x
    x = 493,119,950,625/340,096.50
  6. Step 6: Final answer
    x = 1,449,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.