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Finding the Third Proportional to 250,644 and 545,460

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Solution

The third proportional to 250,644 and 545,460 is: 1,187,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,644 : 545,460 = 545,460 : x
  2. Step 2: Convert to fraction form
    250,644/545,460 = 545,460/x
  3. Step 3: Cross multiply
    250,644x = 545,460 × 545,460
  4. Step 4: Simplify right side
    250,644x = 297,526,611,600
  5. Step 5: Solve for x
    x = 297,526,611,600/250,644
  6. Step 6: Final answer
    x = 1,187,048.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.