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Finding the Third Proportional to 354,408.75 and 777,712.50

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Solution

The third proportional to 354,408.75 and 777,712.50 is: 1,706,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,408.75 : 777,712.50 = 777,712.50 : x
  2. Step 2: Convert to fraction form
    354,408.75/777,712.50 = 777,712.50/x
  3. Step 3: Cross multiply
    354,408.75x = 777,712.50 × 777,712.50
  4. Step 4: Simplify right side
    354,408.75x = 604,836,732,656.25
  5. Step 5: Solve for x
    x = 604,836,732,656.25/354,408.75
  6. Step 6: Final answer
    x = 1,706,607.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.