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Finding the Third Proportional to 299,457 and 656,880.75

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Solution

The third proportional to 299,457 and 656,880.75 is: 1,440,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,457 : 656,880.75 = 656,880.75 : x
  2. Step 2: Convert to fraction form
    299,457/656,880.75 = 656,880.75/x
  3. Step 3: Cross multiply
    299,457x = 656,880.75 × 656,880.75
  4. Step 4: Simplify right side
    299,457x = 431,492,319,720.56
  5. Step 5: Solve for x
    x = 431,492,319,720.56/299,457
  6. Step 6: Final answer
    x = 1,440,915.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.