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Finding the Third Proportional to 650,771.50 and 1,333,254.25

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Solution

The third proportional to 650,771.50 and 1,333,254.25 is: 2,731,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,771.50 : 1,333,254.25 = 1,333,254.25 : x
  2. Step 2: Convert to fraction form
    650,771.50/1,333,254.25 = 1,333,254.25/x
  3. Step 3: Cross multiply
    650,771.50x = 1,333,254.25 × 1,333,254.25
  4. Step 4: Simplify right side
    650,771.50x = 1,777,566,895,143.06
  5. Step 5: Solve for x
    x = 1,777,566,895,143.06/650,771.50
  6. Step 6: Final answer
    x = 2,731,476.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.