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Finding the Third Proportional to 306,846 and 634,994

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Solution

The third proportional to 306,846 and 634,994 is: 1,314,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,846 : 634,994 = 634,994 : x
  2. Step 2: Convert to fraction form
    306,846/634,994 = 634,994/x
  3. Step 3: Cross multiply
    306,846x = 634,994 × 634,994
  4. Step 4: Simplify right side
    306,846x = 403,217,380,036
  5. Step 5: Solve for x
    x = 403,217,380,036/306,846
  6. Step 6: Final answer
    x = 1,314,070.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.