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Finding the Third Proportional to 307,311 and 665,164.50

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Solution

The third proportional to 307,311 and 665,164.50 is: 1,439,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,311 : 665,164.50 = 665,164.50 : x
  2. Step 2: Convert to fraction form
    307,311/665,164.50 = 665,164.50/x
  3. Step 3: Cross multiply
    307,311x = 665,164.50 × 665,164.50
  4. Step 4: Simplify right side
    307,311x = 442,443,812,060.25
  5. Step 5: Solve for x
    x = 442,443,812,060.25/307,311
  6. Step 6: Final answer
    x = 1,439,726.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.