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Finding the Third Proportional to 301,237.50 and 627,421.50

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Solution

The third proportional to 301,237.50 and 627,421.50 is: 1,306,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,237.50 : 627,421.50 = 627,421.50 : x
  2. Step 2: Convert to fraction form
    301,237.50/627,421.50 = 627,421.50/x
  3. Step 3: Cross multiply
    301,237.50x = 627,421.50 × 627,421.50
  4. Step 4: Simplify right side
    301,237.50x = 393,657,738,662.25
  5. Step 5: Solve for x
    x = 393,657,738,662.25/301,237.50
  6. Step 6: Final answer
    x = 1,306,801.90

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