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Finding the Third Proportional to 312,552.84 and 484,273.27

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Solution

The third proportional to 312,552.84 and 484,273.27 is: 750,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,552.84 : 484,273.27 = 484,273.27 : x
  2. Step 2: Convert to fraction form
    312,552.84/484,273.27 = 484,273.27/x
  3. Step 3: Cross multiply
    312,552.84x = 484,273.27 × 484,273.27
  4. Step 4: Simplify right side
    312,552.84x = 234,520,595,799.10
  5. Step 5: Solve for x
    x = 234,520,595,799.10/312,552.84
  6. Step 6: Final answer
    x = 750,339.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.