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Finding the Third Proportional to 270,790 and 587,506

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Solution

The third proportional to 270,790 and 587,506 is: 1,274,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,790 : 587,506 = 587,506 : x
  2. Step 2: Convert to fraction form
    270,790/587,506 = 587,506/x
  3. Step 3: Cross multiply
    270,790x = 587,506 × 587,506
  4. Step 4: Simplify right side
    270,790x = 345,163,300,036
  5. Step 5: Solve for x
    x = 345,163,300,036/270,790
  6. Step 6: Final answer
    x = 1,274,653.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.