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Finding the Third Proportional to 300,730.50 and 648,472.50

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Solution

The third proportional to 300,730.50 and 648,472.50 is: 1,398,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,730.50 : 648,472.50 = 648,472.50 : x
  2. Step 2: Convert to fraction form
    300,730.50/648,472.50 = 648,472.50/x
  3. Step 3: Cross multiply
    300,730.50x = 648,472.50 × 648,472.50
  4. Step 4: Simplify right side
    300,730.50x = 420,516,583,256.25
  5. Step 5: Solve for x
    x = 420,516,583,256.25/300,730.50
  6. Step 6: Final answer
    x = 1,398,317.04

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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.