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Finding the Third Proportional to 301,870.13 and 628,542.75

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Solution

The third proportional to 301,870.13 and 628,542.75 is: 1,308,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,870.13 : 628,542.75 = 628,542.75 : x
  2. Step 2: Convert to fraction form
    301,870.13/628,542.75 = 628,542.75/x
  3. Step 3: Cross multiply
    301,870.13x = 628,542.75 × 628,542.75
  4. Step 4: Simplify right side
    301,870.13x = 395,065,988,577.56
  5. Step 5: Solve for x
    x = 395,065,988,577.56/301,870.13
  6. Step 6: Final answer
    x = 1,308,728.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.