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Finding the Third Proportional to 255,132 and 558,648

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Solution

The third proportional to 255,132 and 558,648 is: 1,223,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,132 : 558,648 = 558,648 : x
  2. Step 2: Convert to fraction form
    255,132/558,648 = 558,648/x
  3. Step 3: Cross multiply
    255,132x = 558,648 × 558,648
  4. Step 4: Simplify right side
    255,132x = 312,087,587,904
  5. Step 5: Solve for x
    x = 312,087,587,904/255,132
  6. Step 6: Final answer
    x = 1,223,239.69

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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.