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Finding the Third Proportional to 286,014 and 626,978

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Solution

The third proportional to 286,014 and 626,978 is: 1,374,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,014 : 626,978 = 626,978 : x
  2. Step 2: Convert to fraction form
    286,014/626,978 = 626,978/x
  3. Step 3: Cross multiply
    286,014x = 626,978 × 626,978
  4. Step 4: Simplify right side
    286,014x = 393,101,412,484
  5. Step 5: Solve for x
    x = 393,101,412,484/286,014
  6. Step 6: Final answer
    x = 1,374,413.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.