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Finding the Third Proportional to 612,399.38 and 950,567.06

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Solution

The third proportional to 612,399.38 and 950,567.06 is: 1,475,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,399.38 : 950,567.06 = 950,567.06 : x
  2. Step 2: Convert to fraction form
    612,399.38/950,567.06 = 950,567.06/x
  3. Step 3: Cross multiply
    612,399.38x = 950,567.06 × 950,567.06
  4. Step 4: Simplify right side
    612,399.38x = 903,577,740,309.88
  5. Step 5: Solve for x
    x = 903,577,740,309.88/612,399.38
  6. Step 6: Final answer
    x = 1,475,471.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.