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Finding the Third Proportional to 236,900 and 506,360

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Solution

The third proportional to 236,900 and 506,360 is: 1,082,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,900 : 506,360 = 506,360 : x
  2. Step 2: Convert to fraction form
    236,900/506,360 = 506,360/x
  3. Step 3: Cross multiply
    236,900x = 506,360 × 506,360
  4. Step 4: Simplify right side
    236,900x = 256,400,449,600
  5. Step 5: Solve for x
    x = 256,400,449,600/236,900
  6. Step 6: Final answer
    x = 1,082,315.11

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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.