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Finding the Third Proportional to 392,719,836.25 and 585,674,133.75

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Solution

The third proportional to 392,719,836.25 and 585,674,133.75 is: 873,432,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,719,836.25 : 585,674,133.75 = 585,674,133.75 : x
  2. Step 2: Convert to fraction form
    392,719,836.25/585,674,133.75 = 585,674,133.75/x
  3. Step 3: Cross multiply
    392,719,836.25x = 585,674,133.75 × 585,674,133.75
  4. Step 4: Simplify right side
    392,719,836.25x = 343,014,190,943,812,864
  5. Step 5: Solve for x
    x = 343,014,190,943,812,864/392,719,836.25
  6. Step 6: Final answer
    x = 873,432,302.83

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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.