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Finding the Third Proportional to 497,413.50 and 1,065,741

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Solution

The third proportional to 497,413.50 and 1,065,741 is: 2,283,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,413.50 : 1,065,741 = 1,065,741 : x
  2. Step 2: Convert to fraction form
    497,413.50/1,065,741 = 1,065,741/x
  3. Step 3: Cross multiply
    497,413.50x = 1,065,741 × 1,065,741
  4. Step 4: Simplify right side
    497,413.50x = 1,135,803,879,081
  5. Step 5: Solve for x
    x = 1,135,803,879,081/497,413.50
  6. Step 6: Final answer
    x = 2,283,419.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.