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Finding the Third Proportional to 236,352 and 505,927

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Solution

The third proportional to 236,352 and 505,927 is: 1,082,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,352 : 505,927 = 505,927 : x
  2. Step 2: Convert to fraction form
    236,352/505,927 = 505,927/x
  3. Step 3: Cross multiply
    236,352x = 505,927 × 505,927
  4. Step 4: Simplify right side
    236,352x = 255,962,129,329
  5. Step 5: Solve for x
    x = 255,962,129,329/236,352
  6. Step 6: Final answer
    x = 1,082,970.02

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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.