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Finding the Third Proportional to 250,646 and 545,464

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Solution

The third proportional to 250,646 and 545,464 is: 1,187,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,646 : 545,464 = 545,464 : x
  2. Step 2: Convert to fraction form
    250,646/545,464 = 545,464/x
  3. Step 3: Cross multiply
    250,646x = 545,464 × 545,464
  4. Step 4: Simplify right side
    250,646x = 297,530,975,296
  5. Step 5: Solve for x
    x = 297,530,975,296/250,646
  6. Step 6: Final answer
    x = 1,187,056.55

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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.