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Finding the Third Proportional to 411,235.73 and 613,430.72

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Solution

The third proportional to 411,235.73 and 613,430.72 is: 915,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,235.73 : 613,430.72 = 613,430.72 : x
  2. Step 2: Convert to fraction form
    411,235.73/613,430.72 = 613,430.72/x
  3. Step 3: Cross multiply
    411,235.73x = 613,430.72 × 613,430.72
  4. Step 4: Simplify right side
    411,235.73x = 376,297,246,706.14
  5. Step 5: Solve for x
    x = 376,297,246,706.14/411,235.73
  6. Step 6: Final answer
    x = 915,040.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.