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Finding the Third Proportional to 301,248,841 and 465,505,844

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Solution

The third proportional to 301,248,841 and 465,505,844 is: 719,324,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,248,841 : 465,505,844 = 465,505,844 : x
  2. Step 2: Convert to fraction form
    301,248,841/465,505,844 = 465,505,844/x
  3. Step 3: Cross multiply
    301,248,841x = 465,505,844 × 465,505,844
  4. Step 4: Simplify right side
    301,248,841x = 216,695,690,798,152,320
  5. Step 5: Solve for x
    x = 216,695,690,798,152,320/301,248,841
  6. Step 6: Final answer
    x = 719,324,562.64

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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.