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Finding the Third Proportional to 452,096 and 683,964

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Solution

The third proportional to 452,096 and 683,964 is: 1,034,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,096 : 683,964 = 683,964 : x
  2. Step 2: Convert to fraction form
    452,096/683,964 = 683,964/x
  3. Step 3: Cross multiply
    452,096x = 683,964 × 683,964
  4. Step 4: Simplify right side
    452,096x = 467,806,753,296
  5. Step 5: Solve for x
    x = 467,806,753,296/452,096
  6. Step 6: Final answer
    x = 1,034,750.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.