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Finding the Third Proportional to 264,548.50 and 555,305

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Solution

The third proportional to 264,548.50 and 555,305 is: 1,165,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,548.50 : 555,305 = 555,305 : x
  2. Step 2: Convert to fraction form
    264,548.50/555,305 = 555,305/x
  3. Step 3: Cross multiply
    264,548.50x = 555,305 × 555,305
  4. Step 4: Simplify right side
    264,548.50x = 308,363,643,025
  5. Step 5: Solve for x
    x = 308,363,643,025/264,548.50
  6. Step 6: Final answer
    x = 1,165,622.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.