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Finding the Third Proportional to 316,750.50 and 683,012.25

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Solution

The third proportional to 316,750.50 and 683,012.25 is: 1,472,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,750.50 : 683,012.25 = 683,012.25 : x
  2. Step 2: Convert to fraction form
    316,750.50/683,012.25 = 683,012.25/x
  3. Step 3: Cross multiply
    316,750.50x = 683,012.25 × 683,012.25
  4. Step 4: Simplify right side
    316,750.50x = 466,505,733,650.06
  5. Step 5: Solve for x
    x = 466,505,733,650.06/316,750.50
  6. Step 6: Final answer
    x = 1,472,786.10

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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.