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Finding the Third Proportional to 307,246.50 and 670,774.50

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Solution

The third proportional to 307,246.50 and 670,774.50 is: 1,464,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,246.50 : 670,774.50 = 670,774.50 : x
  2. Step 2: Convert to fraction form
    307,246.50/670,774.50 = 670,774.50/x
  3. Step 3: Cross multiply
    307,246.50x = 670,774.50 × 670,774.50
  4. Step 4: Simplify right side
    307,246.50x = 449,938,429,850.25
  5. Step 5: Solve for x
    x = 449,938,429,850.25/307,246.50
  6. Step 6: Final answer
    x = 1,464,421.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.