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Finding the Third Proportional to 332,827 and 729,010

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Solution

The third proportional to 332,827 and 729,010 is: 1,596,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,827 : 729,010 = 729,010 : x
  2. Step 2: Convert to fraction form
    332,827/729,010 = 729,010/x
  3. Step 3: Cross multiply
    332,827x = 729,010 × 729,010
  4. Step 4: Simplify right side
    332,827x = 531,455,580,100
  5. Step 5: Solve for x
    x = 531,455,580,100/332,827
  6. Step 6: Final answer
    x = 1,596,792.27

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Why These Related Problems?

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