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Finding the Third Proportional to 262,088 and 544,912

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Solution

The third proportional to 262,088 and 544,912 is: 1,132,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,088 : 544,912 = 544,912 : x
  2. Step 2: Convert to fraction form
    262,088/544,912 = 544,912/x
  3. Step 3: Cross multiply
    262,088x = 544,912 × 544,912
  4. Step 4: Simplify right side
    262,088x = 296,929,087,744
  5. Step 5: Solve for x
    x = 296,929,087,744/262,088
  6. Step 6: Final answer
    x = 1,132,936.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.