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Finding the Third Proportional to 257,963.48 and 547,262.58

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Solution

The third proportional to 257,963.48 and 547,262.58 is: 1,161,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963.48 : 547,262.58 = 547,262.58 : x
  2. Step 2: Convert to fraction form
    257,963.48/547,262.58 = 547,262.58/x
  3. Step 3: Cross multiply
    257,963.48x = 547,262.58 × 547,262.58
  4. Step 4: Simplify right side
    257,963.48x = 299,496,329,416.02
  5. Step 5: Solve for x
    x = 299,496,329,416.02/257,963.48
  6. Step 6: Final answer
    x = 1,161,002.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.