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Finding the Third Proportional to 409,060.13 and 894,300.75

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Solution

The third proportional to 409,060.13 and 894,300.75 is: 1,955,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,060.13 : 894,300.75 = 894,300.75 : x
  2. Step 2: Convert to fraction form
    409,060.13/894,300.75 = 894,300.75/x
  3. Step 3: Cross multiply
    409,060.13x = 894,300.75 × 894,300.75
  4. Step 4: Simplify right side
    409,060.13x = 799,773,831,450.56
  5. Step 5: Solve for x
    x = 799,773,831,450.56/409,060.13
  6. Step 6: Final answer
    x = 1,955,149.82

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Why These Related Problems?

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