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Finding the Third Proportional to 280,749.50 and 608,789

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Solution

The third proportional to 280,749.50 and 608,789 is: 1,320,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,749.50 : 608,789 = 608,789 : x
  2. Step 2: Convert to fraction form
    280,749.50/608,789 = 608,789/x
  3. Step 3: Cross multiply
    280,749.50x = 608,789 × 608,789
  4. Step 4: Simplify right side
    280,749.50x = 370,624,046,521
  5. Step 5: Solve for x
    x = 370,624,046,521/280,749.50
  6. Step 6: Final answer
    x = 1,320,123.62

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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.