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Finding the Third Proportional to 614,856.50 and 1,296,553.50

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Solution

The third proportional to 614,856.50 and 1,296,553.50 is: 2,734,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,856.50 : 1,296,553.50 = 1,296,553.50 : x
  2. Step 2: Convert to fraction form
    614,856.50/1,296,553.50 = 1,296,553.50/x
  3. Step 3: Cross multiply
    614,856.50x = 1,296,553.50 × 1,296,553.50
  4. Step 4: Simplify right side
    614,856.50x = 1,681,050,978,362.25
  5. Step 5: Solve for x
    x = 1,681,050,978,362.25/614,856.50
  6. Step 6: Final answer
    x = 2,734,054.17

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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.