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Finding the Third Proportional to 230,382,815 and 507,724,984

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Solution

The third proportional to 230,382,815 and 507,724,984 is: 1,118,940,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,815 : 507,724,984 = 507,724,984 : x
  2. Step 2: Convert to fraction form
    230,382,815/507,724,984 = 507,724,984/x
  3. Step 3: Cross multiply
    230,382,815x = 507,724,984 × 507,724,984
  4. Step 4: Simplify right side
    230,382,815x = 257,784,659,377,800,256
  5. Step 5: Solve for x
    x = 257,784,659,377,800,256/230,382,815
  6. Step 6: Final answer
    x = 1,118,940,487.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.