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Finding the Third Proportional to 255,258 and 548,424

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Solution

The third proportional to 255,258 and 548,424 is: 1,178,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,258 : 548,424 = 548,424 : x
  2. Step 2: Convert to fraction form
    255,258/548,424 = 548,424/x
  3. Step 3: Cross multiply
    255,258x = 548,424 × 548,424
  4. Step 4: Simplify right side
    255,258x = 300,768,883,776
  5. Step 5: Solve for x
    x = 300,768,883,776/255,258
  6. Step 6: Final answer
    x = 1,178,293.66

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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.