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Finding the Third Proportional to 546,347.25 and 827,138.25

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Solution

The third proportional to 546,347.25 and 827,138.25 is: 1,252,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,347.25 : 827,138.25 = 827,138.25 : x
  2. Step 2: Convert to fraction form
    546,347.25/827,138.25 = 827,138.25/x
  3. Step 3: Cross multiply
    546,347.25x = 827,138.25 × 827,138.25
  4. Step 4: Simplify right side
    546,347.25x = 684,157,684,613.06
  5. Step 5: Solve for x
    x = 684,157,684,613.06/546,347.25
  6. Step 6: Final answer
    x = 1,252,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.