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Finding the Third Proportional to 601,889.50 and 880,678.50

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Solution

The third proportional to 601,889.50 and 880,678.50 is: 1,288,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,889.50 : 880,678.50 = 880,678.50 : x
  2. Step 2: Convert to fraction form
    601,889.50/880,678.50 = 880,678.50/x
  3. Step 3: Cross multiply
    601,889.50x = 880,678.50 × 880,678.50
  4. Step 4: Simplify right side
    601,889.50x = 775,594,620,362.25
  5. Step 5: Solve for x
    x = 775,594,620,362.25/601,889.50
  6. Step 6: Final answer
    x = 1,288,599.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.