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Finding the Third Proportional to 358,731,598 and 512,986,796

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Solution

The third proportional to 358,731,598 and 512,986,796 is: 733,571,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,731,598 : 512,986,796 = 512,986,796 : x
  2. Step 2: Convert to fraction form
    358,731,598/512,986,796 = 512,986,796/x
  3. Step 3: Cross multiply
    358,731,598x = 512,986,796 × 512,986,796
  4. Step 4: Simplify right side
    358,731,598x = 263,155,452,870,345,600
  5. Step 5: Solve for x
    x = 263,155,452,870,345,600/358,731,598
  6. Step 6: Final answer
    x = 733,571,991.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.