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Finding the Third Proportional to 275,872.08 and 595,279.76

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Solution

The third proportional to 275,872.08 and 595,279.76 is: 1,284,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,872.08 : 595,279.76 = 595,279.76 : x
  2. Step 2: Convert to fraction form
    275,872.08/595,279.76 = 595,279.76/x
  3. Step 3: Cross multiply
    275,872.08x = 595,279.76 × 595,279.76
  4. Step 4: Simplify right side
    275,872.08x = 354,357,990,061.31
  5. Step 5: Solve for x
    x = 354,357,990,061.31/275,872.08
  6. Step 6: Final answer
    x = 1,284,501.11

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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.