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Finding the Third Proportional to 312,696 and 484,476

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Solution

The third proportional to 312,696 and 484,476 is: 750,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,696 : 484,476 = 484,476 : x
  2. Step 2: Convert to fraction form
    312,696/484,476 = 484,476/x
  3. Step 3: Cross multiply
    312,696x = 484,476 × 484,476
  4. Step 4: Simplify right side
    312,696x = 234,716,994,576
  5. Step 5: Solve for x
    x = 234,716,994,576/312,696
  6. Step 6: Final answer
    x = 750,623.59

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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.