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Finding the Third Proportional to 657,408.75 and 1,365,361.50

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Solution

The third proportional to 657,408.75 and 1,365,361.50 is: 2,835,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,408.75 : 1,365,361.50 = 1,365,361.50 : x
  2. Step 2: Convert to fraction form
    657,408.75/1,365,361.50 = 1,365,361.50/x
  3. Step 3: Cross multiply
    657,408.75x = 1,365,361.50 × 1,365,361.50
  4. Step 4: Simplify right side
    657,408.75x = 1,864,212,025,682.25
  5. Step 5: Solve for x
    x = 1,864,212,025,682.25/657,408.75
  6. Step 6: Final answer
    x = 2,835,697.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.