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Finding the Third Proportional to 278,160 and 600,667.50

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Solution

The third proportional to 278,160 and 600,667.50 is: 1,297,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,160 : 600,667.50 = 600,667.50 : x
  2. Step 2: Convert to fraction form
    278,160/600,667.50 = 600,667.50/x
  3. Step 3: Cross multiply
    278,160x = 600,667.50 × 600,667.50
  4. Step 4: Simplify right side
    278,160x = 360,801,445,556.25
  5. Step 5: Solve for x
    x = 360,801,445,556.25/278,160
  6. Step 6: Final answer
    x = 1,297,100.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.