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Finding the Third Proportional to 272,723 and 583,351

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Solution

The third proportional to 272,723 and 583,351 is: 1,247,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,723 : 583,351 = 583,351 : x
  2. Step 2: Convert to fraction form
    272,723/583,351 = 583,351/x
  3. Step 3: Cross multiply
    272,723x = 583,351 × 583,351
  4. Step 4: Simplify right side
    272,723x = 340,298,389,201
  5. Step 5: Solve for x
    x = 340,298,389,201/272,723
  6. Step 6: Final answer
    x = 1,247,780.31

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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.