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Finding the Third Proportional to 280,845 and 608,980.50

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Solution

The third proportional to 280,845 and 608,980.50 is: 1,320,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,845 : 608,980.50 = 608,980.50 : x
  2. Step 2: Convert to fraction form
    280,845/608,980.50 = 608,980.50/x
  3. Step 3: Cross multiply
    280,845x = 608,980.50 × 608,980.50
  4. Step 4: Simplify right side
    280,845x = 370,857,249,380.25
  5. Step 5: Solve for x
    x = 370,857,249,380.25/280,845
  6. Step 6: Final answer
    x = 1,320,505.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.