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Finding the Third Proportional to 338,374,584 and 509,802,132

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Solution

The third proportional to 338,374,584 and 509,802,132 is: 768,078,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,374,584 : 509,802,132 = 509,802,132 : x
  2. Step 2: Convert to fraction form
    338,374,584/509,802,132 = 509,802,132/x
  3. Step 3: Cross multiply
    338,374,584x = 509,802,132 × 509,802,132
  4. Step 4: Simplify right side
    338,374,584x = 259,898,213,791,745,408
  5. Step 5: Solve for x
    x = 259,898,213,791,745,408/338,374,584
  6. Step 6: Final answer
    x = 768,078,413.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.