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Finding the Third Proportional to 253,871.72 and 547,416.98

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Solution

The third proportional to 253,871.72 and 547,416.98 is: 1,180,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,871.72 : 547,416.98 = 547,416.98 : x
  2. Step 2: Convert to fraction form
    253,871.72/547,416.98 = 547,416.98/x
  3. Step 3: Cross multiply
    253,871.72x = 547,416.98 × 547,416.98
  4. Step 4: Simplify right side
    253,871.72x = 299,665,354,782.22
  5. Step 5: Solve for x
    x = 299,665,354,782.22/253,871.72
  6. Step 6: Final answer
    x = 1,180,381.01

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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.