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Finding the Third Proportional to 438,705.75 and 949,374.75

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Solution

The third proportional to 438,705.75 and 949,374.75 is: 2,054,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,705.75 : 949,374.75 = 949,374.75 : x
  2. Step 2: Convert to fraction form
    438,705.75/949,374.75 = 949,374.75/x
  3. Step 3: Cross multiply
    438,705.75x = 949,374.75 × 949,374.75
  4. Step 4: Simplify right side
    438,705.75x = 901,312,415,937.56
  5. Step 5: Solve for x
    x = 901,312,415,937.56/438,705.75
  6. Step 6: Final answer
    x = 2,054,480.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.