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Finding the Third Proportional to 312,843,468 and 426,039,404

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Solution

The third proportional to 312,843,468 and 426,039,404 is: 580,192,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,843,468 : 426,039,404 = 426,039,404 : x
  2. Step 2: Convert to fraction form
    312,843,468/426,039,404 = 426,039,404/x
  3. Step 3: Cross multiply
    312,843,468x = 426,039,404 × 426,039,404
  4. Step 4: Simplify right side
    312,843,468x = 181,509,573,760,675,200
  5. Step 5: Solve for x
    x = 181,509,573,760,675,200/312,843,468
  6. Step 6: Final answer
    x = 580,192,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.