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Finding the Third Proportional to 328.36 and 714.52

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Solution

The third proportional to 328.36 and 714.52 is: 1,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.36 : 714.52 = 714.52 : x
  2. Step 2: Convert to fraction form
    328.36/714.52 = 714.52/x
  3. Step 3: Cross multiply
    328.36x = 714.52 × 714.52
  4. Step 4: Simplify right side
    328.36x = 510,532.58
  5. Step 5: Solve for x
    x = 510,532.58/328.36
  6. Step 6: Final answer
    x = 1,554.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.