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Finding the Third Proportional to 565,401.75 and 831,492.75

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Solution

The third proportional to 565,401.75 and 831,492.75 is: 1,222,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,401.75 : 831,492.75 = 831,492.75 : x
  2. Step 2: Convert to fraction form
    565,401.75/831,492.75 = 831,492.75/x
  3. Step 3: Cross multiply
    565,401.75x = 831,492.75 × 831,492.75
  4. Step 4: Simplify right side
    565,401.75x = 691,380,193,302.56
  5. Step 5: Solve for x
    x = 691,380,193,302.56/565,401.75
  6. Step 6: Final answer
    x = 1,222,812.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.