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Finding the Third Proportional to 546,939.84 and 827,955.42

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Solution

The third proportional to 546,939.84 and 827,955.42 is: 1,253,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,939.84 : 827,955.42 = 827,955.42 : x
  2. Step 2: Convert to fraction form
    546,939.84/827,955.42 = 827,955.42/x
  3. Step 3: Cross multiply
    546,939.84x = 827,955.42 × 827,955.42
  4. Step 4: Simplify right side
    546,939.84x = 685,510,180,612.21
  5. Step 5: Solve for x
    x = 685,510,180,612.21/546,939.84
  6. Step 6: Final answer
    x = 1,253,355.72

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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.