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Finding the Third Proportional to 264,543.50 and 587,941

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Solution

The third proportional to 264,543.50 and 587,941 is: 1,306,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,543.50 : 587,941 = 587,941 : x
  2. Step 2: Convert to fraction form
    264,543.50/587,941 = 587,941/x
  3. Step 3: Cross multiply
    264,543.50x = 587,941 × 587,941
  4. Step 4: Simplify right side
    264,543.50x = 345,674,619,481
  5. Step 5: Solve for x
    x = 345,674,619,481/264,543.50
  6. Step 6: Final answer
    x = 1,306,683.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.