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Finding the Third Proportional to 278,010 and 610,147.50

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Solution

The third proportional to 278,010 and 610,147.50 is: 1,339,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,010 : 610,147.50 = 610,147.50 : x
  2. Step 2: Convert to fraction form
    278,010/610,147.50 = 610,147.50/x
  3. Step 3: Cross multiply
    278,010x = 610,147.50 × 610,147.50
  4. Step 4: Simplify right side
    278,010x = 372,279,971,756.25
  5. Step 5: Solve for x
    x = 372,279,971,756.25/278,010
  6. Step 6: Final answer
    x = 1,339,088.42

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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.