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Finding the Third Proportional to 234,714 and 506,838

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Solution

The third proportional to 234,714 and 506,838 is: 1,094,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,714 : 506,838 = 506,838 : x
  2. Step 2: Convert to fraction form
    234,714/506,838 = 506,838/x
  3. Step 3: Cross multiply
    234,714x = 506,838 × 506,838
  4. Step 4: Simplify right side
    234,714x = 256,884,758,244
  5. Step 5: Solve for x
    x = 256,884,758,244/234,714
  6. Step 6: Final answer
    x = 1,094,458.61

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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.