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Finding the Third Proportional to 236,304.84 and 518,529.09

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Solution

The third proportional to 236,304.84 and 518,529.09 is: 1,137,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,304.84 : 518,529.09 = 518,529.09 : x
  2. Step 2: Convert to fraction form
    236,304.84/518,529.09 = 518,529.09/x
  3. Step 3: Cross multiply
    236,304.84x = 518,529.09 × 518,529.09
  4. Step 4: Simplify right side
    236,304.84x = 268,872,421,065.20
  5. Step 5: Solve for x
    x = 268,872,421,065.20/236,304.84
  6. Step 6: Final answer
    x = 1,137,820.19

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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.