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Finding the Third Proportional to 872,401.50 and 1,178,408.25

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Solution

The third proportional to 872,401.50 and 1,178,408.25 is: 1,591,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,401.50 : 1,178,408.25 = 1,178,408.25 : x
  2. Step 2: Convert to fraction form
    872,401.50/1,178,408.25 = 1,178,408.25/x
  3. Step 3: Cross multiply
    872,401.50x = 1,178,408.25 × 1,178,408.25
  4. Step 4: Simplify right side
    872,401.50x = 1,388,646,003,668.06
  5. Step 5: Solve for x
    x = 1,388,646,003,668.06/872,401.50
  6. Step 6: Final answer
    x = 1,591,751.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.