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Finding the Third Proportional to 312,558.75 and 484,282.13

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Solution

The third proportional to 312,558.75 and 484,282.13 is: 750,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,558.75 : 484,282.13 = 484,282.13 : x
  2. Step 2: Convert to fraction form
    312,558.75/484,282.13 = 484,282.13/x
  3. Step 3: Cross multiply
    312,558.75x = 484,282.13 × 484,282.13
  4. Step 4: Simplify right side
    312,558.75x = 234,529,176,594.52
  5. Step 5: Solve for x
    x = 234,529,176,594.52/312,558.75
  6. Step 6: Final answer
    x = 750,352.30

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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.