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Finding the Third Proportional to 236,790 and 506,790

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Solution

The third proportional to 236,790 and 506,790 is: 1,084,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,790 : 506,790 = 506,790 : x
  2. Step 2: Convert to fraction form
    236,790/506,790 = 506,790/x
  3. Step 3: Cross multiply
    236,790x = 506,790 × 506,790
  4. Step 4: Simplify right side
    236,790x = 256,836,104,100
  5. Step 5: Solve for x
    x = 256,836,104,100/236,790
  6. Step 6: Final answer
    x = 1,084,657.73

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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.