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Finding the Third Proportional to 284,572.75 and 609,490.75

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Solution

The third proportional to 284,572.75 and 609,490.75 is: 1,305,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,572.75 : 609,490.75 = 609,490.75 : x
  2. Step 2: Convert to fraction form
    284,572.75/609,490.75 = 609,490.75/x
  3. Step 3: Cross multiply
    284,572.75x = 609,490.75 × 609,490.75
  4. Step 4: Simplify right side
    284,572.75x = 371,478,974,335.56
  5. Step 5: Solve for x
    x = 371,478,974,335.56/284,572.75
  6. Step 6: Final answer
    x = 1,305,391.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.