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Finding the Third Proportional to 352,851.75 and 530,070.75

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Solution

The third proportional to 352,851.75 and 530,070.75 is: 796,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,851.75 : 530,070.75 = 530,070.75 : x
  2. Step 2: Convert to fraction form
    352,851.75/530,070.75 = 530,070.75/x
  3. Step 3: Cross multiply
    352,851.75x = 530,070.75 × 530,070.75
  4. Step 4: Simplify right side
    352,851.75x = 280,975,000,005.56
  5. Step 5: Solve for x
    x = 280,975,000,005.56/352,851.75
  6. Step 6: Final answer
    x = 796,297.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.