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Finding the Third Proportional to 269,673 and 586,410

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Solution

The third proportional to 269,673 and 586,410 is: 1,275,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,673 : 586,410 = 586,410 : x
  2. Step 2: Convert to fraction form
    269,673/586,410 = 586,410/x
  3. Step 3: Cross multiply
    269,673x = 586,410 × 586,410
  4. Step 4: Simplify right side
    269,673x = 343,876,688,100
  5. Step 5: Solve for x
    x = 343,876,688,100/269,673
  6. Step 6: Final answer
    x = 1,275,161.73

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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.