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Finding the Third Proportional to 264,852.75 and 579,219.19

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Solution

The third proportional to 264,852.75 and 579,219.19 is: 1,266,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,852.75 : 579,219.19 = 579,219.19 : x
  2. Step 2: Convert to fraction form
    264,852.75/579,219.19 = 579,219.19/x
  3. Step 3: Cross multiply
    264,852.75x = 579,219.19 × 579,219.19
  4. Step 4: Simplify right side
    264,852.75x = 335,494,867,168.16
  5. Step 5: Solve for x
    x = 335,494,867,168.16/264,852.75
  6. Step 6: Final answer
    x = 1,266,722.23

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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.