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Finding the Third Proportional to 265,584 and 622,160

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Solution

The third proportional to 265,584 and 622,160 is: 1,457,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,584 : 622,160 = 622,160 : x
  2. Step 2: Convert to fraction form
    265,584/622,160 = 622,160/x
  3. Step 3: Cross multiply
    265,584x = 622,160 × 622,160
  4. Step 4: Simplify right side
    265,584x = 387,083,065,600
  5. Step 5: Solve for x
    x = 387,083,065,600/265,584
  6. Step 6: Final answer
    x = 1,457,478.86

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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.