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Finding the Third Proportional to 264,585.02 and 580,556.11

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Solution

The third proportional to 264,585.02 and 580,556.11 is: 1,273,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,585.02 : 580,556.11 = 580,556.11 : x
  2. Step 2: Convert to fraction form
    264,585.02/580,556.11 = 580,556.11/x
  3. Step 3: Cross multiply
    264,585.02x = 580,556.11 × 580,556.11
  4. Step 4: Simplify right side
    264,585.02x = 337,045,396,132.64
  5. Step 5: Solve for x
    x = 337,045,396,132.64/264,585.02
  6. Step 6: Final answer
    x = 1,273,864.23

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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.