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Finding the Third Proportional to 370,404 and 553,167

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Solution

The third proportional to 370,404 and 553,167 is: 826,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,404 : 553,167 = 553,167 : x
  2. Step 2: Convert to fraction form
    370,404/553,167 = 553,167/x
  3. Step 3: Cross multiply
    370,404x = 553,167 × 553,167
  4. Step 4: Simplify right side
    370,404x = 305,993,729,889
  5. Step 5: Solve for x
    x = 305,993,729,889/370,404
  6. Step 6: Final answer
    x = 826,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.