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Finding the Third Proportional to 306,817,724 and 659,171,704

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Solution

The third proportional to 306,817,724 and 659,171,704 is: 1,416,174,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,817,724 : 659,171,704 = 659,171,704 : x
  2. Step 2: Convert to fraction form
    306,817,724/659,171,704 = 659,171,704/x
  3. Step 3: Cross multiply
    306,817,724x = 659,171,704 × 659,171,704
  4. Step 4: Simplify right side
    306,817,724x = 434,507,335,354,263,616
  5. Step 5: Solve for x
    x = 434,507,335,354,263,616/306,817,724
  6. Step 6: Final answer
    x = 1,416,174,169.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.