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Finding the Third Proportional to 495,869 and 786,248

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Solution

The third proportional to 495,869 and 786,248 is: 1,246,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,869 : 786,248 = 786,248 : x
  2. Step 2: Convert to fraction form
    495,869/786,248 = 786,248/x
  3. Step 3: Cross multiply
    495,869x = 786,248 × 786,248
  4. Step 4: Simplify right side
    495,869x = 618,185,917,504
  5. Step 5: Solve for x
    x = 618,185,917,504/495,869
  6. Step 6: Final answer
    x = 1,246,671.84

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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.