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Finding the Third Proportional to 328,216.50 and 469,320.75

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Solution

The third proportional to 328,216.50 and 469,320.75 is: 671,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,216.50 : 469,320.75 = 469,320.75 : x
  2. Step 2: Convert to fraction form
    328,216.50/469,320.75 = 469,320.75/x
  3. Step 3: Cross multiply
    328,216.50x = 469,320.75 × 469,320.75
  4. Step 4: Simplify right side
    328,216.50x = 220,261,966,380.56
  5. Step 5: Solve for x
    x = 220,261,966,380.56/328,216.50
  6. Step 6: Final answer
    x = 671,087.43

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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.