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Finding the Third Proportional to 328,614 and 469,593

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Solution

The third proportional to 328,614 and 469,593 is: 671,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,614 : 469,593 = 469,593 : x
  2. Step 2: Convert to fraction form
    328,614/469,593 = 469,593/x
  3. Step 3: Cross multiply
    328,614x = 469,593 × 469,593
  4. Step 4: Simplify right side
    328,614x = 220,517,585,649
  5. Step 5: Solve for x
    x = 220,517,585,649/328,614
  6. Step 6: Final answer
    x = 671,053.53

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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.