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Finding the Third Proportional to 332,801.72 and 728,953.45

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Solution

The third proportional to 332,801.72 and 728,953.45 is: 1,596,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,801.72 : 728,953.45 = 728,953.45 : x
  2. Step 2: Convert to fraction form
    332,801.72/728,953.45 = 728,953.45/x
  3. Step 3: Cross multiply
    332,801.72x = 728,953.45 × 728,953.45
  4. Step 4: Simplify right side
    332,801.72x = 531,373,136,822.86
  5. Step 5: Solve for x
    x = 531,373,136,822.86/332,801.72
  6. Step 6: Final answer
    x = 1,596,665.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.