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Finding the Third Proportional to 237,816 and 514,836

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Solution

The third proportional to 237,816 and 514,836 is: 1,114,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816 : 514,836 = 514,836 : x
  2. Step 2: Convert to fraction form
    237,816/514,836 = 514,836/x
  3. Step 3: Cross multiply
    237,816x = 514,836 × 514,836
  4. Step 4: Simplify right side
    237,816x = 265,056,106,896
  5. Step 5: Solve for x
    x = 265,056,106,896/237,816
  6. Step 6: Final answer
    x = 1,114,542.78

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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.