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Finding the Third Proportional to 298,301,816 and 703,180,328

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Solution

The third proportional to 298,301,816 and 703,180,328 is: 1,657,591,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,301,816 : 703,180,328 = 703,180,328 : x
  2. Step 2: Convert to fraction form
    298,301,816/703,180,328 = 703,180,328/x
  3. Step 3: Cross multiply
    298,301,816x = 703,180,328 × 703,180,328
  4. Step 4: Simplify right side
    298,301,816x = 494,462,573,686,187,584
  5. Step 5: Solve for x
    x = 494,462,573,686,187,584/298,301,816
  6. Step 6: Final answer
    x = 1,657,591,563.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.