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Finding the Third Proportional to 306,751.50 and 439,096.50

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Solution

The third proportional to 306,751.50 and 439,096.50 is: 628,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,751.50 : 439,096.50 = 439,096.50 : x
  2. Step 2: Convert to fraction form
    306,751.50/439,096.50 = 439,096.50/x
  3. Step 3: Cross multiply
    306,751.50x = 439,096.50 × 439,096.50
  4. Step 4: Simplify right side
    306,751.50x = 192,805,736,312.25
  5. Step 5: Solve for x
    x = 192,805,736,312.25/306,751.50
  6. Step 6: Final answer
    x = 628,540.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.