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Finding the Third Proportional to 307,160 and 458,370.50

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Solution

The third proportional to 307,160 and 458,370.50 is: 684,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,160 : 458,370.50 = 458,370.50 : x
  2. Step 2: Convert to fraction form
    307,160/458,370.50 = 458,370.50/x
  3. Step 3: Cross multiply
    307,160x = 458,370.50 × 458,370.50
  4. Step 4: Simplify right side
    307,160x = 210,103,515,270.25
  5. Step 5: Solve for x
    x = 210,103,515,270.25/307,160
  6. Step 6: Final answer
    x = 684,019.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.