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Finding the Third Proportional to 293,548,839.75 and 410,617,405.69

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Solution

The third proportional to 293,548,839.75 and 410,617,405.69 is: 574,373,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,548,839.75 : 410,617,405.69 = 410,617,405.69 : x
  2. Step 2: Convert to fraction form
    293,548,839.75/410,617,405.69 = 410,617,405.69/x
  3. Step 3: Cross multiply
    293,548,839.75x = 410,617,405.69 × 410,617,405.69
  4. Step 4: Simplify right side
    293,548,839.75x = 168,606,653,853,532,960
  5. Step 5: Solve for x
    x = 168,606,653,853,532,960/293,548,839.75
  6. Step 6: Final answer
    x = 574,373,429.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.