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Finding the Third Proportional to 328,878 and 704,412

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Solution

The third proportional to 328,878 and 704,412 is: 1,508,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,878 : 704,412 = 704,412 : x
  2. Step 2: Convert to fraction form
    328,878/704,412 = 704,412/x
  3. Step 3: Cross multiply
    328,878x = 704,412 × 704,412
  4. Step 4: Simplify right side
    328,878x = 496,196,265,744
  5. Step 5: Solve for x
    x = 496,196,265,744/328,878
  6. Step 6: Final answer
    x = 1,508,754.81

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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.