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Finding the Third Proportional to 316,983.25 and 683,900.25

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Solution

The third proportional to 316,983.25 and 683,900.25 is: 1,475,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,983.25 : 683,900.25 = 683,900.25 : x
  2. Step 2: Convert to fraction form
    316,983.25/683,900.25 = 683,900.25/x
  3. Step 3: Cross multiply
    316,983.25x = 683,900.25 × 683,900.25
  4. Step 4: Simplify right side
    316,983.25x = 467,719,551,950.06
  5. Step 5: Solve for x
    x = 467,719,551,950.06/316,983.25
  6. Step 6: Final answer
    x = 1,475,533.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.