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Finding the Third Proportional to 265,577 and 622,146

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Solution

The third proportional to 265,577 and 622,146 is: 1,457,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,577 : 622,146 = 622,146 : x
  2. Step 2: Convert to fraction form
    265,577/622,146 = 622,146/x
  3. Step 3: Cross multiply
    265,577x = 622,146 × 622,146
  4. Step 4: Simplify right side
    265,577x = 387,065,645,316
  5. Step 5: Solve for x
    x = 387,065,645,316/265,577
  6. Step 6: Final answer
    x = 1,457,451.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.