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Finding the Third Proportional to 334,287,081 and 445,835,623.50

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Solution

The third proportional to 334,287,081 and 445,835,623.50 is: 594,606,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,287,081 : 445,835,623.50 = 445,835,623.50 : x
  2. Step 2: Convert to fraction form
    334,287,081/445,835,623.50 = 445,835,623.50/x
  3. Step 3: Cross multiply
    334,287,081x = 445,835,623.50 × 445,835,623.50
  4. Step 4: Simplify right side
    334,287,081x = 198,769,403,181,633,760
  5. Step 5: Solve for x
    x = 198,769,403,181,633,760/334,287,081
  6. Step 6: Final answer
    x = 594,606,894.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.