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Finding the Third Proportional to 124,638 and 264,828

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Solution

The third proportional to 124,638 and 264,828 is: 562,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,638 : 264,828 = 264,828 : x
  2. Step 2: Convert to fraction form
    124,638/264,828 = 264,828/x
  3. Step 3: Cross multiply
    124,638x = 264,828 × 264,828
  4. Step 4: Simplify right side
    124,638x = 70,133,869,584
  5. Step 5: Solve for x
    x = 70,133,869,584/124,638
  6. Step 6: Final answer
    x = 562,700.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.