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Finding the Third Proportional to 496,073 and 786,540

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Solution

The third proportional to 496,073 and 786,540 is: 1,247,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,073 : 786,540 = 786,540 : x
  2. Step 2: Convert to fraction form
    496,073/786,540 = 786,540/x
  3. Step 3: Cross multiply
    496,073x = 786,540 × 786,540
  4. Step 4: Simplify right side
    496,073x = 618,645,171,600
  5. Step 5: Solve for x
    x = 618,645,171,600/496,073
  6. Step 6: Final answer
    x = 1,247,084.95

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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.