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Finding the Third Proportional to 301,624,860 and 656,995,704

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Solution

The third proportional to 301,624,860 and 656,995,704 is: 1,431,060,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,624,860 : 656,995,704 = 656,995,704 : x
  2. Step 2: Convert to fraction form
    301,624,860/656,995,704 = 656,995,704/x
  3. Step 3: Cross multiply
    301,624,860x = 656,995,704 × 656,995,704
  4. Step 4: Simplify right side
    301,624,860x = 431,643,355,074,455,616
  5. Step 5: Solve for x
    x = 431,643,355,074,455,616/301,624,860
  6. Step 6: Final answer
    x = 1,431,060,274.92

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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.