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Finding the Third Proportional to 254,526 and 548,391

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Solution

The third proportional to 254,526 and 548,391 is: 1,181,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,526 : 548,391 = 548,391 : x
  2. Step 2: Convert to fraction form
    254,526/548,391 = 548,391/x
  3. Step 3: Cross multiply
    254,526x = 548,391 × 548,391
  4. Step 4: Simplify right side
    254,526x = 300,732,688,881
  5. Step 5: Solve for x
    x = 300,732,688,881/254,526
  6. Step 6: Final answer
    x = 1,181,540.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.