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Finding the Third Proportional to 264,814.50 and 583,074

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Solution

The third proportional to 264,814.50 and 583,074 is: 1,283,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,814.50 : 583,074 = 583,074 : x
  2. Step 2: Convert to fraction form
    264,814.50/583,074 = 583,074/x
  3. Step 3: Cross multiply
    264,814.50x = 583,074 × 583,074
  4. Step 4: Simplify right side
    264,814.50x = 339,975,289,476
  5. Step 5: Solve for x
    x = 339,975,289,476/264,814.50
  6. Step 6: Final answer
    x = 1,283,824.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.