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Finding the Third Proportional to 524,135.25 and 1,146,413.25

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Solution

The third proportional to 524,135.25 and 1,146,413.25 is: 2,507,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,135.25 : 1,146,413.25 = 1,146,413.25 : x
  2. Step 2: Convert to fraction form
    524,135.25/1,146,413.25 = 1,146,413.25/x
  3. Step 3: Cross multiply
    524,135.25x = 1,146,413.25 × 1,146,413.25
  4. Step 4: Simplify right side
    524,135.25x = 1,314,263,339,775.56
  5. Step 5: Solve for x
    x = 1,314,263,339,775.56/524,135.25
  6. Step 6: Final answer
    x = 2,507,488.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.