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Finding the Third Proportional to 410,065.70 and 552,027.42

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Solution

The third proportional to 410,065.70 and 552,027.42 is: 743,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.70 : 552,027.42 = 552,027.42 : x
  2. Step 2: Convert to fraction form
    410,065.70/552,027.42 = 552,027.42/x
  3. Step 3: Cross multiply
    410,065.70x = 552,027.42 × 552,027.42
  4. Step 4: Simplify right side
    410,065.70x = 304,734,271,267.40
  5. Step 5: Solve for x
    x = 304,734,271,267.40/410,065.70
  6. Step 6: Final answer
    x = 743,135.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.