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Finding the Third Proportional to 328,050 and 718,884

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Solution

The third proportional to 328,050 and 718,884 is: 1,575,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,050 : 718,884 = 718,884 : x
  2. Step 2: Convert to fraction form
    328,050/718,884 = 718,884/x
  3. Step 3: Cross multiply
    328,050x = 718,884 × 718,884
  4. Step 4: Simplify right side
    328,050x = 516,794,205,456
  5. Step 5: Solve for x
    x = 516,794,205,456/328,050
  6. Step 6: Final answer
    x = 1,575,351.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.