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Finding the Third Proportional to 304,225,812 and 664,200,360

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Solution

The third proportional to 304,225,812 and 664,200,360 is: 1,450,114,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,225,812 : 664,200,360 = 664,200,360 : x
  2. Step 2: Convert to fraction form
    304,225,812/664,200,360 = 664,200,360/x
  3. Step 3: Cross multiply
    304,225,812x = 664,200,360 × 664,200,360
  4. Step 4: Simplify right side
    304,225,812x = 441,162,118,224,129,600
  5. Step 5: Solve for x
    x = 441,162,118,224,129,600/304,225,812
  6. Step 6: Final answer
    x = 1,450,114,029.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.