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Finding the Third Proportional to 351,849 and 544,986

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Solution

The third proportional to 351,849 and 544,986 is: 844,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,849 : 544,986 = 544,986 : x
  2. Step 2: Convert to fraction form
    351,849/544,986 = 544,986/x
  3. Step 3: Cross multiply
    351,849x = 544,986 × 544,986
  4. Step 4: Simplify right side
    351,849x = 297,009,740,196
  5. Step 5: Solve for x
    x = 297,009,740,196/351,849
  6. Step 6: Final answer
    x = 844,139.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.