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Finding the Third Proportional to 264,328.31 and 542,662.88

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Solution

The third proportional to 264,328.31 and 542,662.88 is: 1,114,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,328.31 : 542,662.88 = 542,662.88 : x
  2. Step 2: Convert to fraction form
    264,328.31/542,662.88 = 542,662.88/x
  3. Step 3: Cross multiply
    264,328.31x = 542,662.88 × 542,662.88
  4. Step 4: Simplify right side
    264,328.31x = 294,482,995,903.27
  5. Step 5: Solve for x
    x = 294,482,995,903.27/264,328.31
  6. Step 6: Final answer
    x = 1,114,080.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.