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Finding the Third Proportional to 486,186 and 769,236

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Solution

The third proportional to 486,186 and 769,236 is: 1,217,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,186 : 769,236 = 769,236 : x
  2. Step 2: Convert to fraction form
    486,186/769,236 = 769,236/x
  3. Step 3: Cross multiply
    486,186x = 769,236 × 769,236
  4. Step 4: Simplify right side
    486,186x = 591,724,023,696
  5. Step 5: Solve for x
    x = 591,724,023,696/486,186
  6. Step 6: Final answer
    x = 1,217,073.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.