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Finding the Third Proportional to 296,066,832 and 641,557,800

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Solution

The third proportional to 296,066,832 and 641,557,800 is: 1,390,214,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,066,832 : 641,557,800 = 641,557,800 : x
  2. Step 2: Convert to fraction form
    296,066,832/641,557,800 = 641,557,800/x
  3. Step 3: Cross multiply
    296,066,832x = 641,557,800 × 641,557,800
  4. Step 4: Simplify right side
    296,066,832x = 411,596,410,740,840,000
  5. Step 5: Solve for x
    x = 411,596,410,740,840,000/296,066,832
  6. Step 6: Final answer
    x = 1,390,214,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.