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Finding the Third Proportional to 739,352.25 and 1,513,676.25

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Solution

The third proportional to 739,352.25 and 1,513,676.25 is: 3,098,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,352.25 : 1,513,676.25 = 1,513,676.25 : x
  2. Step 2: Convert to fraction form
    739,352.25/1,513,676.25 = 1,513,676.25/x
  3. Step 3: Cross multiply
    739,352.25x = 1,513,676.25 × 1,513,676.25
  4. Step 4: Simplify right side
    739,352.25x = 2,291,215,789,814.06
  5. Step 5: Solve for x
    x = 2,291,215,789,814.06/739,352.25
  6. Step 6: Final answer
    x = 3,098,950.18

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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.