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Finding the Third Proportional to 251,314 and 546,260

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Solution

The third proportional to 251,314 and 546,260 is: 1,187,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,314 : 546,260 = 546,260 : x
  2. Step 2: Convert to fraction form
    251,314/546,260 = 546,260/x
  3. Step 3: Cross multiply
    251,314x = 546,260 × 546,260
  4. Step 4: Simplify right side
    251,314x = 298,399,987,600
  5. Step 5: Solve for x
    x = 298,399,987,600/251,314
  6. Step 6: Final answer
    x = 1,187,359.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.