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Finding the Third Proportional to 257,044 and 545,192

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Solution

The third proportional to 257,044 and 545,192 is: 1,156,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,044 : 545,192 = 545,192 : x
  2. Step 2: Convert to fraction form
    257,044/545,192 = 545,192/x
  3. Step 3: Cross multiply
    257,044x = 545,192 × 545,192
  4. Step 4: Simplify right side
    257,044x = 297,234,316,864
  5. Step 5: Solve for x
    x = 297,234,316,864/257,044
  6. Step 6: Final answer
    x = 1,156,355.79

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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.