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Finding the Third Proportional to 273,502.50 and 590,745

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Solution

The third proportional to 273,502.50 and 590,745 is: 1,275,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502.50 : 590,745 = 590,745 : x
  2. Step 2: Convert to fraction form
    273,502.50/590,745 = 590,745/x
  3. Step 3: Cross multiply
    273,502.50x = 590,745 × 590,745
  4. Step 4: Simplify right side
    273,502.50x = 348,979,655,025
  5. Step 5: Solve for x
    x = 348,979,655,025/273,502.50
  6. Step 6: Final answer
    x = 1,275,965.14

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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.