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Finding the Third Proportional to 301,551,873 and 656,501,049

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Solution

The third proportional to 301,551,873 and 656,501,049 is: 1,429,252,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,551,873 : 656,501,049 = 656,501,049 : x
  2. Step 2: Convert to fraction form
    301,551,873/656,501,049 = 656,501,049/x
  3. Step 3: Cross multiply
    301,551,873x = 656,501,049 × 656,501,049
  4. Step 4: Simplify right side
    301,551,873x = 430,993,627,338,100,416
  5. Step 5: Solve for x
    x = 430,993,627,338,100,416/301,551,873
  6. Step 6: Final answer
    x = 1,429,252,032.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.