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Finding the Third Proportional to 264,640.50 and 581,769

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Solution

The third proportional to 264,640.50 and 581,769 is: 1,278,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,640.50 : 581,769 = 581,769 : x
  2. Step 2: Convert to fraction form
    264,640.50/581,769 = 581,769/x
  3. Step 3: Cross multiply
    264,640.50x = 581,769 × 581,769
  4. Step 4: Simplify right side
    264,640.50x = 338,455,169,361
  5. Step 5: Solve for x
    x = 338,455,169,361/264,640.50
  6. Step 6: Final answer
    x = 1,278,924.31

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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.