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Finding the Third Proportional to 328,089 and 701,673

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Solution

The third proportional to 328,089 and 701,673 is: 1,500,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,089 : 701,673 = 701,673 : x
  2. Step 2: Convert to fraction form
    328,089/701,673 = 701,673/x
  3. Step 3: Cross multiply
    328,089x = 701,673 × 701,673
  4. Step 4: Simplify right side
    328,089x = 492,344,998,929
  5. Step 5: Solve for x
    x = 492,344,998,929/328,089
  6. Step 6: Final answer
    x = 1,500,644.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.