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Finding the Third Proportional to 650,723.63 and 1,333,158.75

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Solution

The third proportional to 650,723.63 and 1,333,158.75 is: 2,731,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,723.63 : 1,333,158.75 = 1,333,158.75 : x
  2. Step 2: Convert to fraction form
    650,723.63/1,333,158.75 = 1,333,158.75/x
  3. Step 3: Cross multiply
    650,723.63x = 1,333,158.75 × 1,333,158.75
  4. Step 4: Simplify right side
    650,723.63x = 1,777,312,252,701.56
  5. Step 5: Solve for x
    x = 1,777,312,252,701.56/650,723.63
  6. Step 6: Final answer
    x = 2,731,285.89

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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.