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Finding the Third Proportional to 592,413.75 and 847,162.13

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Solution

The third proportional to 592,413.75 and 847,162.13 is: 1,211,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,413.75 : 847,162.13 = 847,162.13 : x
  2. Step 2: Convert to fraction form
    592,413.75/847,162.13 = 847,162.13/x
  3. Step 3: Cross multiply
    592,413.75x = 847,162.13 × 847,162.13
  4. Step 4: Simplify right side
    592,413.75x = 717,683,666,034.52
  5. Step 5: Solve for x
    x = 717,683,666,034.52/592,413.75
  6. Step 6: Final answer
    x = 1,211,456.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.