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Finding the Third Proportional to 236,675 and 514,822

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Solution

The third proportional to 236,675 and 514,822 is: 1,119,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,675 : 514,822 = 514,822 : x
  2. Step 2: Convert to fraction form
    236,675/514,822 = 514,822/x
  3. Step 3: Cross multiply
    236,675x = 514,822 × 514,822
  4. Step 4: Simplify right side
    236,675x = 265,041,691,684
  5. Step 5: Solve for x
    x = 265,041,691,684/236,675
  6. Step 6: Final answer
    x = 1,119,855.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.