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Finding the Third Proportional to 316,759.50 and 683,030.25

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Solution

The third proportional to 316,759.50 and 683,030.25 is: 1,472,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,759.50 : 683,030.25 = 683,030.25 : x
  2. Step 2: Convert to fraction form
    316,759.50/683,030.25 = 683,030.25/x
  3. Step 3: Cross multiply
    316,759.50x = 683,030.25 × 683,030.25
  4. Step 4: Simplify right side
    316,759.50x = 466,530,322,415.06
  5. Step 5: Solve for x
    x = 466,530,322,415.06/316,759.50
  6. Step 6: Final answer
    x = 1,472,821.88

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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.