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Finding the Third Proportional to 499.92 and 1,070.30

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Solution

The third proportional to 499.92 and 1,070.30 is: 2,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 1,070.30 = 1,070.30 : x
  2. Step 2: Convert to fraction form
    499.92/1,070.30 = 1,070.30/x
  3. Step 3: Cross multiply
    499.92x = 1,070.30 × 1,070.30
  4. Step 4: Simplify right side
    499.92x = 1,145,535.40
  5. Step 5: Solve for x
    x = 1,145,535.40/499.92
  6. Step 6: Final answer
    x = 2,291.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.