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Finding the Third Proportional to 307,413 and 660,754.50

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Solution

The third proportional to 307,413 and 660,754.50 is: 1,420,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,413 : 660,754.50 = 660,754.50 : x
  2. Step 2: Convert to fraction form
    307,413/660,754.50 = 660,754.50/x
  3. Step 3: Cross multiply
    307,413x = 660,754.50 × 660,754.50
  4. Step 4: Simplify right side
    307,413x = 436,596,509,270.25
  5. Step 5: Solve for x
    x = 436,596,509,270.25/307,413
  6. Step 6: Final answer
    x = 1,420,227.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.