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Finding the Third Proportional to 264,094.88 and 569,256.75

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Solution

The third proportional to 264,094.88 and 569,256.75 is: 1,227,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,094.88 : 569,256.75 = 569,256.75 : x
  2. Step 2: Convert to fraction form
    264,094.88/569,256.75 = 569,256.75/x
  3. Step 3: Cross multiply
    264,094.88x = 569,256.75 × 569,256.75
  4. Step 4: Simplify right side
    264,094.88x = 324,053,247,420.56
  5. Step 5: Solve for x
    x = 324,053,247,420.56/264,094.88
  6. Step 6: Final answer
    x = 1,227,033.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.