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Finding the Third Proportional to 546,972.75 and 828,012.38

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Solution

The third proportional to 546,972.75 and 828,012.38 is: 1,253,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,972.75 : 828,012.38 = 828,012.38 : x
  2. Step 2: Convert to fraction form
    546,972.75/828,012.38 = 828,012.38/x
  3. Step 3: Cross multiply
    546,972.75x = 828,012.38 × 828,012.38
  4. Step 4: Simplify right side
    546,972.75x = 685,604,493,153.14
  5. Step 5: Solve for x
    x = 685,604,493,153.14/546,972.75
  6. Step 6: Final answer
    x = 1,253,452.74

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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.