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Finding the Third Proportional to 301,413.56 and 644,281.13

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Solution

The third proportional to 301,413.56 and 644,281.13 is: 1,377,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,413.56 : 644,281.13 = 644,281.13 : x
  2. Step 2: Convert to fraction form
    301,413.56/644,281.13 = 644,281.13/x
  3. Step 3: Cross multiply
    301,413.56x = 644,281.13 × 644,281.13
  4. Step 4: Simplify right side
    301,413.56x = 415,098,168,031.27
  5. Step 5: Solve for x
    x = 415,098,168,031.27/301,413.56
  6. Step 6: Final answer
    x = 1,377,171.50

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