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Finding the Third Proportional to 262,360 and 573,968

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Solution

The third proportional to 262,360 and 573,968 is: 1,255,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,360 : 573,968 = 573,968 : x
  2. Step 2: Convert to fraction form
    262,360/573,968 = 573,968/x
  3. Step 3: Cross multiply
    262,360x = 573,968 × 573,968
  4. Step 4: Simplify right side
    262,360x = 329,439,265,024
  5. Step 5: Solve for x
    x = 329,439,265,024/262,360
  6. Step 6: Final answer
    x = 1,255,676.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.