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Finding the Third Proportional to 265,423.50 and 573,081.75

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Solution

The third proportional to 265,423.50 and 573,081.75 is: 1,237,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,423.50 : 573,081.75 = 573,081.75 : x
  2. Step 2: Convert to fraction form
    265,423.50/573,081.75 = 573,081.75/x
  3. Step 3: Cross multiply
    265,423.50x = 573,081.75 × 573,081.75
  4. Step 4: Simplify right side
    265,423.50x = 328,422,692,183.06
  5. Step 5: Solve for x
    x = 328,422,692,183.06/265,423.50
  6. Step 6: Final answer
    x = 1,237,353.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.