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Finding the Third Proportional to 270,038 and 590,932

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Solution

The third proportional to 270,038 and 590,932 is: 1,293,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,038 : 590,932 = 590,932 : x
  2. Step 2: Convert to fraction form
    270,038/590,932 = 590,932/x
  3. Step 3: Cross multiply
    270,038x = 590,932 × 590,932
  4. Step 4: Simplify right side
    270,038x = 349,200,628,624
  5. Step 5: Solve for x
    x = 349,200,628,624/270,038
  6. Step 6: Final answer
    x = 1,293,153.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.