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Finding the Third Proportional to 346,198 and 719,914

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Solution

The third proportional to 346,198 and 719,914 is: 1,497,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,198 : 719,914 = 719,914 : x
  2. Step 2: Convert to fraction form
    346,198/719,914 = 719,914/x
  3. Step 3: Cross multiply
    346,198x = 719,914 × 719,914
  4. Step 4: Simplify right side
    346,198x = 518,276,167,396
  5. Step 5: Solve for x
    x = 518,276,167,396/346,198
  6. Step 6: Final answer
    x = 1,497,051.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.