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Finding the Third Proportional to 419,592 and 650,893.50

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Solution

The third proportional to 419,592 and 650,893.50 is: 1,009,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,592 : 650,893.50 = 650,893.50 : x
  2. Step 2: Convert to fraction form
    419,592/650,893.50 = 650,893.50/x
  3. Step 3: Cross multiply
    419,592x = 650,893.50 × 650,893.50
  4. Step 4: Simplify right side
    419,592x = 423,662,348,342.25
  5. Step 5: Solve for x
    x = 423,662,348,342.25/419,592
  6. Step 6: Final answer
    x = 1,009,700.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.