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Finding the Third Proportional to 513,685 and 818,096

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Solution

The third proportional to 513,685 and 818,096 is: 1,302,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,685 : 818,096 = 818,096 : x
  2. Step 2: Convert to fraction form
    513,685/818,096 = 818,096/x
  3. Step 3: Cross multiply
    513,685x = 818,096 × 818,096
  4. Step 4: Simplify right side
    513,685x = 669,281,065,216
  5. Step 5: Solve for x
    x = 669,281,065,216/513,685
  6. Step 6: Final answer
    x = 1,302,901.71

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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.