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Finding the Third Proportional to 346,174.88 and 727,338.38

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Solution

The third proportional to 346,174.88 and 727,338.38 is: 1,528,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,174.88 : 727,338.38 = 727,338.38 : x
  2. Step 2: Convert to fraction form
    346,174.88/727,338.38 = 727,338.38/x
  3. Step 3: Cross multiply
    346,174.88x = 727,338.38 × 727,338.38
  4. Step 4: Simplify right side
    346,174.88x = 529,021,111,747.64
  5. Step 5: Solve for x
    x = 529,021,111,747.64/346,174.88
  6. Step 6: Final answer
    x = 1,528,190.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.