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Finding the Third Proportional to 346.46 and 722.14

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Solution

The third proportional to 346.46 and 722.14 is: 1,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 722.14 = 722.14 : x
  2. Step 2: Convert to fraction form
    346.46/722.14 = 722.14/x
  3. Step 3: Cross multiply
    346.46x = 722.14 × 722.14
  4. Step 4: Simplify right side
    346.46x = 521,492.72
  5. Step 5: Solve for x
    x = 521,492.72/346.46
  6. Step 6: Final answer
    x = 1,505.18

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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.