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Finding the Third Proportional to 301,425.75 and 650,173.50

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Solution

The third proportional to 301,425.75 and 650,173.50 is: 1,402,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,425.75 : 650,173.50 = 650,173.50 : x
  2. Step 2: Convert to fraction form
    301,425.75/650,173.50 = 650,173.50/x
  3. Step 3: Cross multiply
    301,425.75x = 650,173.50 × 650,173.50
  4. Step 4: Simplify right side
    301,425.75x = 422,725,580,102.25
  5. Step 5: Solve for x
    x = 422,725,580,102.25/301,425.75
  6. Step 6: Final answer
    x = 1,402,420.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.