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Finding the Third Proportional to 562,492.50 and 871,199.25

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Solution

The third proportional to 562,492.50 and 871,199.25 is: 1,349,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,492.50 : 871,199.25 = 871,199.25 : x
  2. Step 2: Convert to fraction form
    562,492.50/871,199.25 = 871,199.25/x
  3. Step 3: Cross multiply
    562,492.50x = 871,199.25 × 871,199.25
  4. Step 4: Simplify right side
    562,492.50x = 758,988,133,200.56
  5. Step 5: Solve for x
    x = 758,988,133,200.56/562,492.50
  6. Step 6: Final answer
    x = 1,349,330.23

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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.