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Finding the Third Proportional to 346.69 and 744.38

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Solution

The third proportional to 346.69 and 744.38 is: 1,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 744.38 = 744.38 : x
  2. Step 2: Convert to fraction form
    346.69/744.38 = 744.38/x
  3. Step 3: Cross multiply
    346.69x = 744.38 × 744.38
  4. Step 4: Simplify right side
    346.69x = 554,094.14
  5. Step 5: Solve for x
    x = 554,094.14/346.69
  6. Step 6: Final answer
    x = 1,598.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.