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Finding the Third Proportional to 264,632 and 581,752

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Solution

The third proportional to 264,632 and 581,752 is: 1,278,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,632 : 581,752 = 581,752 : x
  2. Step 2: Convert to fraction form
    264,632/581,752 = 581,752/x
  3. Step 3: Cross multiply
    264,632x = 581,752 × 581,752
  4. Step 4: Simplify right side
    264,632x = 338,435,389,504
  5. Step 5: Solve for x
    x = 338,435,389,504/264,632
  6. Step 6: Final answer
    x = 1,278,890.65

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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.