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Finding the Third Proportional to 465,831 and 683,984.25

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Solution

The third proportional to 465,831 and 683,984.25 is: 1,004,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,831 : 683,984.25 = 683,984.25 : x
  2. Step 2: Convert to fraction form
    465,831/683,984.25 = 683,984.25/x
  3. Step 3: Cross multiply
    465,831x = 683,984.25 × 683,984.25
  4. Step 4: Simplify right side
    465,831x = 467,834,454,248.06
  5. Step 5: Solve for x
    x = 467,834,454,248.06/465,831
  6. Step 6: Final answer
    x = 1,004,300.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.