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Finding the Third Proportional to 124,783 and 270,584

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Solution

The third proportional to 124,783 and 270,584 is: 586,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,783 : 270,584 = 270,584 : x
  2. Step 2: Convert to fraction form
    124,783/270,584 = 270,584/x
  3. Step 3: Cross multiply
    124,783x = 270,584 × 270,584
  4. Step 4: Simplify right side
    124,783x = 73,215,701,056
  5. Step 5: Solve for x
    x = 73,215,701,056/124,783
  6. Step 6: Final answer
    x = 586,744.20

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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.