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Finding the Third Proportional to 382,340,584.13 and 590,400,771.75

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Solution

The third proportional to 382,340,584.13 and 590,400,771.75 is: 911,682,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340,584.13 : 590,400,771.75 = 590,400,771.75 : x
  2. Step 2: Convert to fraction form
    382,340,584.13/590,400,771.75 = 590,400,771.75/x
  3. Step 3: Cross multiply
    382,340,584.13x = 590,400,771.75 × 590,400,771.75
  4. Step 4: Simplify right side
    382,340,584.13x = 348,573,071,282,995,584
  5. Step 5: Solve for x
    x = 348,573,071,282,995,584/382,340,584.13
  6. Step 6: Final answer
    x = 911,682,112.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.