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Finding the Third Proportional to 451,995.19 and 683,823.94

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Solution

The third proportional to 451,995.19 and 683,823.94 is: 1,034,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,995.19 : 683,823.94 = 683,823.94 : x
  2. Step 2: Convert to fraction form
    451,995.19/683,823.94 = 683,823.94/x
  3. Step 3: Cross multiply
    451,995.19x = 683,823.94 × 683,823.94
  4. Step 4: Simplify right side
    451,995.19x = 467,615,177,498.00
  5. Step 5: Solve for x
    x = 467,615,177,498.00/451,995.19
  6. Step 6: Final answer
    x = 1,034,557.87

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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.