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Finding the Third Proportional to 366,833.25 and 546,864.75

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Solution

The third proportional to 366,833.25 and 546,864.75 is: 815,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,833.25 : 546,864.75 = 546,864.75 : x
  2. Step 2: Convert to fraction form
    366,833.25/546,864.75 = 546,864.75/x
  3. Step 3: Cross multiply
    366,833.25x = 546,864.75 × 546,864.75
  4. Step 4: Simplify right side
    366,833.25x = 299,061,054,792.56
  5. Step 5: Solve for x
    x = 299,061,054,792.56/366,833.25
  6. Step 6: Final answer
    x = 815,250.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.