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Finding the Third Proportional to 250,566 and 546,357

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Solution

The third proportional to 250,566 and 546,357 is: 1,191,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,566 : 546,357 = 546,357 : x
  2. Step 2: Convert to fraction form
    250,566/546,357 = 546,357/x
  3. Step 3: Cross multiply
    250,566x = 546,357 × 546,357
  4. Step 4: Simplify right side
    250,566x = 298,505,971,449
  5. Step 5: Solve for x
    x = 298,505,971,449/250,566
  6. Step 6: Final answer
    x = 1,191,326.72

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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.