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Finding the Third Proportional to 236,714 and 514,900

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Solution

The third proportional to 236,714 and 514,900 is: 1,120,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,714 : 514,900 = 514,900 : x
  2. Step 2: Convert to fraction form
    236,714/514,900 = 514,900/x
  3. Step 3: Cross multiply
    236,714x = 514,900 × 514,900
  4. Step 4: Simplify right side
    236,714x = 265,122,010,000
  5. Step 5: Solve for x
    x = 265,122,010,000/236,714
  6. Step 6: Final answer
    x = 1,120,009.84

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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.