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Finding the Third Proportional to 446,413.78 and 673,645.36

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Solution

The third proportional to 446,413.78 and 673,645.36 is: 1,016,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,413.78 : 673,645.36 = 673,645.36 : x
  2. Step 2: Convert to fraction form
    446,413.78/673,645.36 = 673,645.36/x
  3. Step 3: Cross multiply
    446,413.78x = 673,645.36 × 673,645.36
  4. Step 4: Simplify right side
    446,413.78x = 453,798,070,207.47
  5. Step 5: Solve for x
    x = 453,798,070,207.47/446,413.78
  6. Step 6: Final answer
    x = 1,016,541.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.