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Finding the Third Proportional to 300,890,463.75 and 655,197,842.25

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Solution

The third proportional to 300,890,463.75 and 655,197,842.25 is: 1,426,712,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,890,463.75 : 655,197,842.25 = 655,197,842.25 : x
  2. Step 2: Convert to fraction form
    300,890,463.75/655,197,842.25 = 655,197,842.25/x
  3. Step 3: Cross multiply
    300,890,463.75x = 655,197,842.25 × 655,197,842.25
  4. Step 4: Simplify right side
    300,890,463.75x = 429,284,212,489,055,872
  5. Step 5: Solve for x
    x = 429,284,212,489,055,872/300,890,463.75
  6. Step 6: Final answer
    x = 1,426,712,588.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.