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Finding the Third Proportional to 274,856.63 and 596,713.50

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Solution

The third proportional to 274,856.63 and 596,713.50 is: 1,295,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,856.63 : 596,713.50 = 596,713.50 : x
  2. Step 2: Convert to fraction form
    274,856.63/596,713.50 = 596,713.50/x
  3. Step 3: Cross multiply
    274,856.63x = 596,713.50 × 596,713.50
  4. Step 4: Simplify right side
    274,856.63x = 356,067,001,082.25
  5. Step 5: Solve for x
    x = 356,067,001,082.25/274,856.63
  6. Step 6: Final answer
    x = 1,295,464.50

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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.