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Finding the Third Proportional to 236,655 and 519,237

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Solution

The third proportional to 236,655 and 519,237 is: 1,139,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,655 : 519,237 = 519,237 : x
  2. Step 2: Convert to fraction form
    236,655/519,237 = 519,237/x
  3. Step 3: Cross multiply
    236,655x = 519,237 × 519,237
  4. Step 4: Simplify right side
    236,655x = 269,607,062,169
  5. Step 5: Solve for x
    x = 269,607,062,169/236,655
  6. Step 6: Final answer
    x = 1,139,240.93

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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.