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Finding the Third Proportional to 546,938.44 and 827,953.31

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Solution

The third proportional to 546,938.44 and 827,953.31 is: 1,253,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,938.44 : 827,953.31 = 827,953.31 : x
  2. Step 2: Convert to fraction form
    546,938.44/827,953.31 = 827,953.31/x
  3. Step 3: Cross multiply
    546,938.44x = 827,953.31 × 827,953.31
  4. Step 4: Simplify right side
    546,938.44x = 685,506,687,679.72
  5. Step 5: Solve for x
    x = 685,506,687,679.72/546,938.44
  6. Step 6: Final answer
    x = 1,253,352.55

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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.