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Finding the Third Proportional to 333,509,463 and 724,430,698

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Solution

The third proportional to 333,509,463 and 724,430,698 is: 1,573,568,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509,463 : 724,430,698 = 724,430,698 : x
  2. Step 2: Convert to fraction form
    333,509,463/724,430,698 = 724,430,698/x
  3. Step 3: Cross multiply
    333,509,463x = 724,430,698 × 724,430,698
  4. Step 4: Simplify right side
    333,509,463x = 524,799,836,204,767,232
  5. Step 5: Solve for x
    x = 524,799,836,204,767,232/333,509,463
  6. Step 6: Final answer
    x = 1,573,568,052.56

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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.