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Finding the Third Proportional to 270,234.50 and 586,621

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Solution

The third proportional to 270,234.50 and 586,621 is: 1,273,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,234.50 : 586,621 = 586,621 : x
  2. Step 2: Convert to fraction form
    270,234.50/586,621 = 586,621/x
  3. Step 3: Cross multiply
    270,234.50x = 586,621 × 586,621
  4. Step 4: Simplify right side
    270,234.50x = 344,124,197,641
  5. Step 5: Solve for x
    x = 344,124,197,641/270,234.50
  6. Step 6: Final answer
    x = 1,273,428.07

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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.