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Finding the Third Proportional to 295,237.50 and 458,408.25

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Solution

The third proportional to 295,237.50 and 458,408.25 is: 711,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,237.50 : 458,408.25 = 458,408.25 : x
  2. Step 2: Convert to fraction form
    295,237.50/458,408.25 = 458,408.25/x
  3. Step 3: Cross multiply
    295,237.50x = 458,408.25 × 458,408.25
  4. Step 4: Simplify right side
    295,237.50x = 210,138,123,668.06
  5. Step 5: Solve for x
    x = 210,138,123,668.06/295,237.50
  6. Step 6: Final answer
    x = 711,759.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.