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Finding the Third Proportional to 357,846 and 548,235

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Solution

The third proportional to 357,846 and 548,235 is: 839,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,846 : 548,235 = 548,235 : x
  2. Step 2: Convert to fraction form
    357,846/548,235 = 548,235/x
  3. Step 3: Cross multiply
    357,846x = 548,235 × 548,235
  4. Step 4: Simplify right side
    357,846x = 300,561,615,225
  5. Step 5: Solve for x
    x = 300,561,615,225/357,846
  6. Step 6: Final answer
    x = 839,918.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.