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Finding the Third Proportional to 318,146 and 686,106

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Solution

The third proportional to 318,146 and 686,106 is: 1,479,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,146 : 686,106 = 686,106 : x
  2. Step 2: Convert to fraction form
    318,146/686,106 = 686,106/x
  3. Step 3: Cross multiply
    318,146x = 686,106 × 686,106
  4. Step 4: Simplify right side
    318,146x = 470,741,443,236
  5. Step 5: Solve for x
    x = 470,741,443,236/318,146
  6. Step 6: Final answer
    x = 1,479,639.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.