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Finding the Third Proportional to 365,080.50 and 802,089

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Solution

The third proportional to 365,080.50 and 802,089 is: 1,762,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,080.50 : 802,089 = 802,089 : x
  2. Step 2: Convert to fraction form
    365,080.50/802,089 = 802,089/x
  3. Step 3: Cross multiply
    365,080.50x = 802,089 × 802,089
  4. Step 4: Simplify right side
    365,080.50x = 643,346,763,921
  5. Step 5: Solve for x
    x = 643,346,763,921/365,080.50
  6. Step 6: Final answer
    x = 1,762,205.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.