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Finding the Third Proportional to 409,856,567 and 599,413,378

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Solution

The third proportional to 409,856,567 and 599,413,378 is: 876,639,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856,567 : 599,413,378 = 599,413,378 : x
  2. Step 2: Convert to fraction form
    409,856,567/599,413,378 = 599,413,378/x
  3. Step 3: Cross multiply
    409,856,567x = 599,413,378 × 599,413,378
  4. Step 4: Simplify right side
    409,856,567x = 359,296,397,725,370,880
  5. Step 5: Solve for x
    x = 359,296,397,725,370,880/409,856,567
  6. Step 6: Final answer
    x = 876,639,357.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.