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Finding the Third Proportional to 318,946 and 683,685

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Solution

The third proportional to 318,946 and 683,685 is: 1,465,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,946 : 683,685 = 683,685 : x
  2. Step 2: Convert to fraction form
    318,946/683,685 = 683,685/x
  3. Step 3: Cross multiply
    318,946x = 683,685 × 683,685
  4. Step 4: Simplify right side
    318,946x = 467,425,179,225
  5. Step 5: Solve for x
    x = 467,425,179,225/318,946
  6. Step 6: Final answer
    x = 1,465,530.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.