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Finding the Third Proportional to 378,800.25 and 631,258.88

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Solution

The third proportional to 378,800.25 and 631,258.88 is: 1,051,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,800.25 : 631,258.88 = 631,258.88 : x
  2. Step 2: Convert to fraction form
    378,800.25/631,258.88 = 631,258.88/x
  3. Step 3: Cross multiply
    378,800.25x = 631,258.88 × 631,258.88
  4. Step 4: Simplify right side
    378,800.25x = 398,487,767,266.27
  5. Step 5: Solve for x
    x = 398,487,767,266.27/378,800.25
  6. Step 6: Final answer
    x = 1,051,973.35

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.