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Finding the Third Proportional to 314,680.50 and 483,966

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Solution

The third proportional to 314,680.50 and 483,966 is: 744,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,680.50 : 483,966 = 483,966 : x
  2. Step 2: Convert to fraction form
    314,680.50/483,966 = 483,966/x
  3. Step 3: Cross multiply
    314,680.50x = 483,966 × 483,966
  4. Step 4: Simplify right side
    314,680.50x = 234,223,089,156
  5. Step 5: Solve for x
    x = 234,223,089,156/314,680.50
  6. Step 6: Final answer
    x = 744,320.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.