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Finding the Third Proportional to 503,640 and 786,096

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Solution

The third proportional to 503,640 and 786,096 is: 1,226,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,640 : 786,096 = 786,096 : x
  2. Step 2: Convert to fraction form
    503,640/786,096 = 786,096/x
  3. Step 3: Cross multiply
    503,640x = 786,096 × 786,096
  4. Step 4: Simplify right side
    503,640x = 617,946,921,216
  5. Step 5: Solve for x
    x = 617,946,921,216/503,640
  6. Step 6: Final answer
    x = 1,226,961.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.