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Finding the Third Proportional to 322,114.50 and 727,740

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Solution

The third proportional to 322,114.50 and 727,740 is: 1,644,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,114.50 : 727,740 = 727,740 : x
  2. Step 2: Convert to fraction form
    322,114.50/727,740 = 727,740/x
  3. Step 3: Cross multiply
    322,114.50x = 727,740 × 727,740
  4. Step 4: Simplify right side
    322,114.50x = 529,605,507,600
  5. Step 5: Solve for x
    x = 529,605,507,600/322,114.50
  6. Step 6: Final answer
    x = 1,644,152.96

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.