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Finding the Third Proportional to 320,877,380.25 and 703,269,056.25

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Solution

The third proportional to 320,877,380.25 and 703,269,056.25 is: 1,541,359,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,877,380.25 : 703,269,056.25 = 703,269,056.25 : x
  2. Step 2: Convert to fraction form
    320,877,380.25/703,269,056.25 = 703,269,056.25/x
  3. Step 3: Cross multiply
    320,877,380.25x = 703,269,056.25 × 703,269,056.25
  4. Step 4: Simplify right side
    320,877,380.25x = 494,587,365,478,765,696
  5. Step 5: Solve for x
    x = 494,587,365,478,765,696/320,877,380.25
  6. Step 6: Final answer
    x = 1,541,359,397.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.