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Finding the Third Proportional to 346.31 and 740.63

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Solution

The third proportional to 346.31 and 740.63 is: 1,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 740.63 = 740.63 : x
  2. Step 2: Convert to fraction form
    346.31/740.63 = 740.63/x
  3. Step 3: Cross multiply
    346.31x = 740.63 × 740.63
  4. Step 4: Simplify right side
    346.31x = 548,525.39
  5. Step 5: Solve for x
    x = 548,525.39/346.31
  6. Step 6: Final answer
    x = 1,583.90

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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.