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Finding the Third Proportional to 236,889 and 506,340

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Solution

The third proportional to 236,889 and 506,340 is: 1,082,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,889 : 506,340 = 506,340 : x
  2. Step 2: Convert to fraction form
    236,889/506,340 = 506,340/x
  3. Step 3: Cross multiply
    236,889x = 506,340 × 506,340
  4. Step 4: Simplify right side
    236,889x = 256,380,195,600
  5. Step 5: Solve for x
    x = 256,380,195,600/236,889
  6. Step 6: Final answer
    x = 1,082,279.87

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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.