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Finding the Third Proportional to 230,936,784 and 502,527,756

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Solution

The third proportional to 230,936,784 and 502,527,756 is: 1,093,520,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936,784 : 502,527,756 = 502,527,756 : x
  2. Step 2: Convert to fraction form
    230,936,784/502,527,756 = 502,527,756/x
  3. Step 3: Cross multiply
    230,936,784x = 502,527,756 × 502,527,756
  4. Step 4: Simplify right side
    230,936,784x = 252,534,145,550,395,520
  5. Step 5: Solve for x
    x = 252,534,145,550,395,520/230,936,784
  6. Step 6: Final answer
    x = 1,093,520,664.73

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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.