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Finding the Third Proportional to 427,204.50 and 909,624

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Solution

The third proportional to 427,204.50 and 909,624 is: 1,936,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,204.50 : 909,624 = 909,624 : x
  2. Step 2: Convert to fraction form
    427,204.50/909,624 = 909,624/x
  3. Step 3: Cross multiply
    427,204.50x = 909,624 × 909,624
  4. Step 4: Simplify right side
    427,204.50x = 827,415,821,376
  5. Step 5: Solve for x
    x = 827,415,821,376/427,204.50
  6. Step 6: Final answer
    x = 1,936,814.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.