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Finding the Third Proportional to 562,493.25 and 871,200

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Solution

The third proportional to 562,493.25 and 871,200 is: 1,349,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,493.25 : 871,200 = 871,200 : x
  2. Step 2: Convert to fraction form
    562,493.25/871,200 = 871,200/x
  3. Step 3: Cross multiply
    562,493.25x = 871,200 × 871,200
  4. Step 4: Simplify right side
    562,493.25x = 758,989,440,000
  5. Step 5: Solve for x
    x = 758,989,440,000/562,493.25
  6. Step 6: Final answer
    x = 1,349,330.75

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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.