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Finding the Third Proportional to 340,225 and 794,666.50

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Solution

The third proportional to 340,225 and 794,666.50 is: 1,856,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,225 : 794,666.50 = 794,666.50 : x
  2. Step 2: Convert to fraction form
    340,225/794,666.50 = 794,666.50/x
  3. Step 3: Cross multiply
    340,225x = 794,666.50 × 794,666.50
  4. Step 4: Simplify right side
    340,225x = 631,494,846,222.25
  5. Step 5: Solve for x
    x = 631,494,846,222.25/340,225
  6. Step 6: Final answer
    x = 1,856,109.48

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.