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Finding the Third Proportional to 284,050.50 and 618,945

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Solution

The third proportional to 284,050.50 and 618,945 is: 1,348,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,050.50 : 618,945 = 618,945 : x
  2. Step 2: Convert to fraction form
    284,050.50/618,945 = 618,945/x
  3. Step 3: Cross multiply
    284,050.50x = 618,945 × 618,945
  4. Step 4: Simplify right side
    284,050.50x = 383,092,913,025
  5. Step 5: Solve for x
    x = 383,092,913,025/284,050.50
  6. Step 6: Final answer
    x = 1,348,678.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.