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Finding the Third Proportional to 236,393 and 506,005

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Solution

The third proportional to 236,393 and 506,005 is: 1,083,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,393 : 506,005 = 506,005 : x
  2. Step 2: Convert to fraction form
    236,393/506,005 = 506,005/x
  3. Step 3: Cross multiply
    236,393x = 506,005 × 506,005
  4. Step 4: Simplify right side
    236,393x = 256,041,060,025
  5. Step 5: Solve for x
    x = 256,041,060,025/236,393
  6. Step 6: Final answer
    x = 1,083,116.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.