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Finding the Third Proportional to 380,973 and 814,432.50

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Solution

The third proportional to 380,973 and 814,432.50 is: 1,741,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,973 : 814,432.50 = 814,432.50 : x
  2. Step 2: Convert to fraction form
    380,973/814,432.50 = 814,432.50/x
  3. Step 3: Cross multiply
    380,973x = 814,432.50 × 814,432.50
  4. Step 4: Simplify right side
    380,973x = 663,300,297,056.25
  5. Step 5: Solve for x
    x = 663,300,297,056.25/380,973
  6. Step 6: Final answer
    x = 1,741,069.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.