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Finding the Third Proportional to 236,770 and 520,196

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Solution

The third proportional to 236,770 and 520,196 is: 1,142,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,770 : 520,196 = 520,196 : x
  2. Step 2: Convert to fraction form
    236,770/520,196 = 520,196/x
  3. Step 3: Cross multiply
    236,770x = 520,196 × 520,196
  4. Step 4: Simplify right side
    236,770x = 270,603,878,416
  5. Step 5: Solve for x
    x = 270,603,878,416/236,770
  6. Step 6: Final answer
    x = 1,142,897.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.