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Finding the Third Proportional to 520,766 and 786,735

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Solution

The third proportional to 520,766 and 786,735 is: 1,188,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,766 : 786,735 = 786,735 : x
  2. Step 2: Convert to fraction form
    520,766/786,735 = 786,735/x
  3. Step 3: Cross multiply
    520,766x = 786,735 × 786,735
  4. Step 4: Simplify right side
    520,766x = 618,951,960,225
  5. Step 5: Solve for x
    x = 618,951,960,225/520,766
  6. Step 6: Final answer
    x = 1,188,541.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.