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Finding the Third Proportional to 314,853.75 and 679,441.50

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Solution

The third proportional to 314,853.75 and 679,441.50 is: 1,466,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,853.75 : 679,441.50 = 679,441.50 : x
  2. Step 2: Convert to fraction form
    314,853.75/679,441.50 = 679,441.50/x
  3. Step 3: Cross multiply
    314,853.75x = 679,441.50 × 679,441.50
  4. Step 4: Simplify right side
    314,853.75x = 461,640,751,922.25
  5. Step 5: Solve for x
    x = 461,640,751,922.25/314,853.75
  6. Step 6: Final answer
    x = 1,466,206.94

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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.