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Finding the Third Proportional to 232,740 and 501,120

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Solution

The third proportional to 232,740 and 501,120 is: 1,078,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,740 : 501,120 = 501,120 : x
  2. Step 2: Convert to fraction form
    232,740/501,120 = 501,120/x
  3. Step 3: Cross multiply
    232,740x = 501,120 × 501,120
  4. Step 4: Simplify right side
    232,740x = 251,121,254,400
  5. Step 5: Solve for x
    x = 251,121,254,400/232,740
  6. Step 6: Final answer
    x = 1,078,977.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.