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Finding the Third Proportional to 360,942 and 786,036

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Solution

The third proportional to 360,942 and 786,036 is: 1,711,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,942 : 786,036 = 786,036 : x
  2. Step 2: Convert to fraction form
    360,942/786,036 = 786,036/x
  3. Step 3: Cross multiply
    360,942x = 786,036 × 786,036
  4. Step 4: Simplify right side
    360,942x = 617,852,593,296
  5. Step 5: Solve for x
    x = 617,852,593,296/360,942
  6. Step 6: Final answer
    x = 1,711,778.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.