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Finding the Third Proportional to 284,224.50 and 613,989

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Solution

The third proportional to 284,224.50 and 613,989 is: 1,326,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224.50 : 613,989 = 613,989 : x
  2. Step 2: Convert to fraction form
    284,224.50/613,989 = 613,989/x
  3. Step 3: Cross multiply
    284,224.50x = 613,989 × 613,989
  4. Step 4: Simplify right side
    284,224.50x = 376,982,492,121
  5. Step 5: Solve for x
    x = 376,982,492,121/284,224.50
  6. Step 6: Final answer
    x = 1,326,354.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.