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Finding the Third Proportional to 236,145 and 509,607

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Solution

The third proportional to 236,145 and 509,607 is: 1,099,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,145 : 509,607 = 509,607 : x
  2. Step 2: Convert to fraction form
    236,145/509,607 = 509,607/x
  3. Step 3: Cross multiply
    236,145x = 509,607 × 509,607
  4. Step 4: Simplify right side
    236,145x = 259,699,294,449
  5. Step 5: Solve for x
    x = 259,699,294,449/236,145
  6. Step 6: Final answer
    x = 1,099,745.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.