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Finding the Third Proportional to 236,984 and 519,888

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Solution

The third proportional to 236,984 and 519,888 is: 1,140,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,984 : 519,888 = 519,888 : x
  2. Step 2: Convert to fraction form
    236,984/519,888 = 519,888/x
  3. Step 3: Cross multiply
    236,984x = 519,888 × 519,888
  4. Step 4: Simplify right side
    236,984x = 270,283,532,544
  5. Step 5: Solve for x
    x = 270,283,532,544/236,984
  6. Step 6: Final answer
    x = 1,140,513.84

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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.