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Finding the Third Proportional to 264,792 and 576,240

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Solution

The third proportional to 264,792 and 576,240 is: 1,254,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,792 : 576,240 = 576,240 : x
  2. Step 2: Convert to fraction form
    264,792/576,240 = 576,240/x
  3. Step 3: Cross multiply
    264,792x = 576,240 × 576,240
  4. Step 4: Simplify right side
    264,792x = 332,052,537,600
  5. Step 5: Solve for x
    x = 332,052,537,600/264,792
  6. Step 6: Final answer
    x = 1,254,012.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.