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Finding the Third Proportional to 274,012.03 and 409,903.88

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Solution

The third proportional to 274,012.03 and 409,903.88 is: 613,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,012.03 : 409,903.88 = 409,903.88 : x
  2. Step 2: Convert to fraction form
    274,012.03/409,903.88 = 409,903.88/x
  3. Step 3: Cross multiply
    274,012.03x = 409,903.88 × 409,903.88
  4. Step 4: Simplify right side
    274,012.03x = 168,021,186,740.02
  5. Step 5: Solve for x
    x = 168,021,186,740.02/274,012.03
  6. Step 6: Final answer
    x = 613,189.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.