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Finding the Third Proportional to 305,946 and 440,653.50

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Solution

The third proportional to 305,946 and 440,653.50 is: 634,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,946 : 440,653.50 = 440,653.50 : x
  2. Step 2: Convert to fraction form
    305,946/440,653.50 = 440,653.50/x
  3. Step 3: Cross multiply
    305,946x = 440,653.50 × 440,653.50
  4. Step 4: Simplify right side
    305,946x = 194,175,507,062.25
  5. Step 5: Solve for x
    x = 194,175,507,062.25/305,946
  6. Step 6: Final answer
    x = 634,672.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.