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Finding the Third Proportional to 305.06 and 714.56

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Solution

The third proportional to 305.06 and 714.56 is: 1,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 714.56 = 714.56 : x
  2. Step 2: Convert to fraction form
    305.06/714.56 = 714.56/x
  3. Step 3: Cross multiply
    305.06x = 714.56 × 714.56
  4. Step 4: Simplify right side
    305.06x = 510,599.57
  5. Step 5: Solve for x
    x = 510,599.57/305.06
  6. Step 6: Final answer
    x = 1,673.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.