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Finding the Third Proportional to 346.46 and 526.82

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Solution

The third proportional to 346.46 and 526.82 is: 801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 526.82 = 526.82 : x
  2. Step 2: Convert to fraction form
    346.46/526.82 = 526.82/x
  3. Step 3: Cross multiply
    346.46x = 526.82 × 526.82
  4. Step 4: Simplify right side
    346.46x = 277,535.53
  5. Step 5: Solve for x
    x = 277,535.53/346.46
  6. Step 6: Final answer
    x = 801.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.