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Finding the Third Proportional to 422,092 and 604,639.50

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Solution

The third proportional to 422,092 and 604,639.50 is: 866,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,092 : 604,639.50 = 604,639.50 : x
  2. Step 2: Convert to fraction form
    422,092/604,639.50 = 604,639.50/x
  3. Step 3: Cross multiply
    422,092x = 604,639.50 × 604,639.50
  4. Step 4: Simplify right side
    422,092x = 365,588,924,960.25
  5. Step 5: Solve for x
    x = 365,588,924,960.25/422,092
  6. Step 6: Final answer
    x = 866,135.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.