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Finding the Third Proportional to 270,325,241 and 418,769,291

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Solution

The third proportional to 270,325,241 and 418,769,291 is: 648,728,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,325,241 : 418,769,291 = 418,769,291 : x
  2. Step 2: Convert to fraction form
    270,325,241/418,769,291 = 418,769,291/x
  3. Step 3: Cross multiply
    270,325,241x = 418,769,291 × 418,769,291
  4. Step 4: Simplify right side
    270,325,241x = 175,367,719,084,642,688
  5. Step 5: Solve for x
    x = 175,367,719,084,642,688/270,325,241
  6. Step 6: Final answer
    x = 648,728,614.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.