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Finding the Third Proportional to 499.69 and 714.09

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Solution

The third proportional to 499.69 and 714.09 is: 1,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 714.09 = 714.09 : x
  2. Step 2: Convert to fraction form
    499.69/714.09 = 714.09/x
  3. Step 3: Cross multiply
    499.69x = 714.09 × 714.09
  4. Step 4: Simplify right side
    499.69x = 509,929.88
  5. Step 5: Solve for x
    x = 509,929.88/499.69
  6. Step 6: Final answer
    x = 1,020.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.