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Finding the Third Proportional to 330.19 and 714.38

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Solution

The third proportional to 330.19 and 714.38 is: 1,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.19 : 714.38 = 714.38 : x
  2. Step 2: Convert to fraction form
    330.19/714.38 = 714.38/x
  3. Step 3: Cross multiply
    330.19x = 714.38 × 714.38
  4. Step 4: Simplify right side
    330.19x = 510,331.64
  5. Step 5: Solve for x
    x = 510,331.64/330.19
  6. Step 6: Final answer
    x = 1,545.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.