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Finding the Third Proportional to 551,136.38 and 835,007.63

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Solution

The third proportional to 551,136.38 and 835,007.63 is: 1,265,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,136.38 : 835,007.63 = 835,007.63 : x
  2. Step 2: Convert to fraction form
    551,136.38/835,007.63 = 835,007.63/x
  3. Step 3: Cross multiply
    551,136.38x = 835,007.63 × 835,007.63
  4. Step 4: Simplify right side
    551,136.38x = 697,237,733,808.14
  5. Step 5: Solve for x
    x = 697,237,733,808.14/551,136.38
  6. Step 6: Final answer
    x = 1,265,091.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.