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Finding the Third Proportional to 236,258 and 505,300

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Solution

The third proportional to 236,258 and 505,300 is: 1,080,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,258 : 505,300 = 505,300 : x
  2. Step 2: Convert to fraction form
    236,258/505,300 = 505,300/x
  3. Step 3: Cross multiply
    236,258x = 505,300 × 505,300
  4. Step 4: Simplify right side
    236,258x = 255,328,090,000
  5. Step 5: Solve for x
    x = 255,328,090,000/236,258
  6. Step 6: Final answer
    x = 1,080,717.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.