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Finding the Third Proportional to 301,829 and 408,455.50

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Solution

The third proportional to 301,829 and 408,455.50 is: 552,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,829 : 408,455.50 = 408,455.50 : x
  2. Step 2: Convert to fraction form
    301,829/408,455.50 = 408,455.50/x
  3. Step 3: Cross multiply
    301,829x = 408,455.50 × 408,455.50
  4. Step 4: Simplify right side
    301,829x = 166,835,895,480.25
  5. Step 5: Solve for x
    x = 166,835,895,480.25/301,829
  6. Step 6: Final answer
    x = 552,749.72

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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.