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Finding the Third Proportional to 236,922 and 559,290

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Solution

The third proportional to 236,922 and 559,290 is: 1,320,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,922 : 559,290 = 559,290 : x
  2. Step 2: Convert to fraction form
    236,922/559,290 = 559,290/x
  3. Step 3: Cross multiply
    236,922x = 559,290 × 559,290
  4. Step 4: Simplify right side
    236,922x = 312,805,304,100
  5. Step 5: Solve for x
    x = 312,805,304,100/236,922
  6. Step 6: Final answer
    x = 1,320,288.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.