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Finding the Third Proportional to 483.68 and 714.09

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Solution

The third proportional to 483.68 and 714.09 is: 1,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.68 : 714.09 = 714.09 : x
  2. Step 2: Convert to fraction form
    483.68/714.09 = 714.09/x
  3. Step 3: Cross multiply
    483.68x = 714.09 × 714.09
  4. Step 4: Simplify right side
    483.68x = 509,929.88
  5. Step 5: Solve for x
    x = 509,929.88/483.68
  6. Step 6: Final answer
    x = 1,054.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.