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Finding the Third Proportional to 658,534.50 and 1,436,413.50

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Solution

The third proportional to 658,534.50 and 1,436,413.50 is: 3,133,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,534.50 : 1,436,413.50 = 1,436,413.50 : x
  2. Step 2: Convert to fraction form
    658,534.50/1,436,413.50 = 1,436,413.50/x
  3. Step 3: Cross multiply
    658,534.50x = 1,436,413.50 × 1,436,413.50
  4. Step 4: Simplify right side
    658,534.50x = 2,063,283,742,982.25
  5. Step 5: Solve for x
    x = 2,063,283,742,982.25/658,534.50
  6. Step 6: Final answer
    x = 3,133,144.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.