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Finding the Third Proportional to 265,579 and 622,151

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Solution

The third proportional to 265,579 and 622,151 is: 1,457,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,579 : 622,151 = 622,151 : x
  2. Step 2: Convert to fraction form
    265,579/622,151 = 622,151/x
  3. Step 3: Cross multiply
    265,579x = 622,151 × 622,151
  4. Step 4: Simplify right side
    265,579x = 387,071,866,801
  5. Step 5: Solve for x
    x = 387,071,866,801/265,579
  6. Step 6: Final answer
    x = 1,457,464.13

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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.