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Finding the Third Proportional to 452,000 and 683,828

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Solution

The third proportional to 452,000 and 683,828 is: 1,034,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,000 : 683,828 = 683,828 : x
  2. Step 2: Convert to fraction form
    452,000/683,828 = 683,828/x
  3. Step 3: Cross multiply
    452,000x = 683,828 × 683,828
  4. Step 4: Simplify right side
    452,000x = 467,620,733,584
  5. Step 5: Solve for x
    x = 467,620,733,584/452,000
  6. Step 6: Final answer
    x = 1,034,559.15

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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.