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Finding the Third Proportional to 253,905 and 601,549.50

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Solution

The third proportional to 253,905 and 601,549.50 is: 1,425,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,905 : 601,549.50 = 601,549.50 : x
  2. Step 2: Convert to fraction form
    253,905/601,549.50 = 601,549.50/x
  3. Step 3: Cross multiply
    253,905x = 601,549.50 × 601,549.50
  4. Step 4: Simplify right side
    253,905x = 361,861,800,950.25
  5. Step 5: Solve for x
    x = 361,861,800,950.25/253,905
  6. Step 6: Final answer
    x = 1,425,185.80

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.