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Finding the Third Proportional to 264,712 and 566,360

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Solution

The third proportional to 264,712 and 566,360 is: 1,211,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,712 : 566,360 = 566,360 : x
  2. Step 2: Convert to fraction form
    264,712/566,360 = 566,360/x
  3. Step 3: Cross multiply
    264,712x = 566,360 × 566,360
  4. Step 4: Simplify right side
    264,712x = 320,763,649,600
  5. Step 5: Solve for x
    x = 320,763,649,600/264,712
  6. Step 6: Final answer
    x = 1,211,745.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.