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Finding the Third Proportional to 655,378.50 and 885,456

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Solution

The third proportional to 655,378.50 and 885,456 is: 1,196,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,378.50 : 885,456 = 885,456 : x
  2. Step 2: Convert to fraction form
    655,378.50/885,456 = 885,456/x
  3. Step 3: Cross multiply
    655,378.50x = 885,456 × 885,456
  4. Step 4: Simplify right side
    655,378.50x = 784,032,327,936
  5. Step 5: Solve for x
    x = 784,032,327,936/655,378.50
  6. Step 6: Final answer
    x = 1,196,304.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.