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Finding the Third Proportional to 335,259,396 and 500,824,404

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Solution

The third proportional to 335,259,396 and 500,824,404 is: 748,152,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,259,396 : 500,824,404 = 500,824,404 : x
  2. Step 2: Convert to fraction form
    335,259,396/500,824,404 = 500,824,404/x
  3. Step 3: Cross multiply
    335,259,396x = 500,824,404 × 500,824,404
  4. Step 4: Simplify right side
    335,259,396x = 250,825,083,641,955,200
  5. Step 5: Solve for x
    x = 250,825,083,641,955,200/335,259,396
  6. Step 6: Final answer
    x = 748,152,286.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.