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Finding the Third Proportional to 422,057 and 604,581.50

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Solution

The third proportional to 422,057 and 604,581.50 is: 866,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,057 : 604,581.50 = 604,581.50 : x
  2. Step 2: Convert to fraction form
    422,057/604,581.50 = 604,581.50/x
  3. Step 3: Cross multiply
    422,057x = 604,581.50 × 604,581.50
  4. Step 4: Simplify right side
    422,057x = 365,518,790,142.25
  5. Step 5: Solve for x
    x = 365,518,790,142.25/422,057
  6. Step 6: Final answer
    x = 866,041.29

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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.