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Finding the Third Proportional to 503,881.50 and 770,463

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Solution

The third proportional to 503,881.50 and 770,463 is: 1,178,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,881.50 : 770,463 = 770,463 : x
  2. Step 2: Convert to fraction form
    503,881.50/770,463 = 770,463/x
  3. Step 3: Cross multiply
    503,881.50x = 770,463 × 770,463
  4. Step 4: Simplify right side
    503,881.50x = 593,613,234,369
  5. Step 5: Solve for x
    x = 593,613,234,369/503,881.50
  6. Step 6: Final answer
    x = 1,178,081.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.