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Finding the Third Proportional to 278,046 and 575,788.50

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Solution

The third proportional to 278,046 and 575,788.50 is: 1,192,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,046 : 575,788.50 = 575,788.50 : x
  2. Step 2: Convert to fraction form
    278,046/575,788.50 = 575,788.50/x
  3. Step 3: Cross multiply
    278,046x = 575,788.50 × 575,788.50
  4. Step 4: Simplify right side
    278,046x = 331,532,396,732.25
  5. Step 5: Solve for x
    x = 331,532,396,732.25/278,046
  6. Step 6: Final answer
    x = 1,192,365.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.