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Finding the Third Proportional to 255,662 and 544,132

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Solution

The third proportional to 255,662 and 544,132 is: 1,158,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,662 : 544,132 = 544,132 : x
  2. Step 2: Convert to fraction form
    255,662/544,132 = 544,132/x
  3. Step 3: Cross multiply
    255,662x = 544,132 × 544,132
  4. Step 4: Simplify right side
    255,662x = 296,079,633,424
  5. Step 5: Solve for x
    x = 296,079,633,424/255,662
  6. Step 6: Final answer
    x = 1,158,090.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.