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Finding the Third Proportional to 254,423 and 548,901

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Solution

The third proportional to 254,423 and 548,901 is: 1,184,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,423 : 548,901 = 548,901 : x
  2. Step 2: Convert to fraction form
    254,423/548,901 = 548,901/x
  3. Step 3: Cross multiply
    254,423x = 548,901 × 548,901
  4. Step 4: Simplify right side
    254,423x = 301,292,307,801
  5. Step 5: Solve for x
    x = 301,292,307,801/254,423
  6. Step 6: Final answer
    x = 1,184,218.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.