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Finding the Third Proportional to 495,867 and 786,245

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Solution

The third proportional to 495,867 and 786,245 is: 1,246,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,867 : 786,245 = 786,245 : x
  2. Step 2: Convert to fraction form
    495,867/786,245 = 786,245/x
  3. Step 3: Cross multiply
    495,867x = 786,245 × 786,245
  4. Step 4: Simplify right side
    495,867x = 618,181,200,025
  5. Step 5: Solve for x
    x = 618,181,200,025/495,867
  6. Step 6: Final answer
    x = 1,246,667.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.