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Finding the Third Proportional to 253,116 and 534,691.50

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Solution

The third proportional to 253,116 and 534,691.50 is: 1,129,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,116 : 534,691.50 = 534,691.50 : x
  2. Step 2: Convert to fraction form
    253,116/534,691.50 = 534,691.50/x
  3. Step 3: Cross multiply
    253,116x = 534,691.50 × 534,691.50
  4. Step 4: Simplify right side
    253,116x = 285,895,000,172.25
  5. Step 5: Solve for x
    x = 285,895,000,172.25/253,116
  6. Step 6: Final answer
    x = 1,129,501.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.