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Finding the Third Proportional to 328,117.50 and 469,202.25

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Solution

The third proportional to 328,117.50 and 469,202.25 is: 670,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,117.50 : 469,202.25 = 469,202.25 : x
  2. Step 2: Convert to fraction form
    328,117.50/469,202.25 = 469,202.25/x
  3. Step 3: Cross multiply
    328,117.50x = 469,202.25 × 469,202.25
  4. Step 4: Simplify right side
    328,117.50x = 220,150,751,405.06
  5. Step 5: Solve for x
    x = 220,150,751,405.06/328,117.50
  6. Step 6: Final answer
    x = 670,950.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.