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Finding the Third Proportional to 356,463.38 and 742,413.38

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Solution

The third proportional to 356,463.38 and 742,413.38 is: 1,546,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,463.38 : 742,413.38 = 742,413.38 : x
  2. Step 2: Convert to fraction form
    356,463.38/742,413.38 = 742,413.38/x
  3. Step 3: Cross multiply
    356,463.38x = 742,413.38 × 742,413.38
  4. Step 4: Simplify right side
    356,463.38x = 551,177,619,378.89
  5. Step 5: Solve for x
    x = 551,177,619,378.89/356,463.38
  6. Step 6: Final answer
    x = 1,546,239.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.